{"id":15,"date":"2023-06-09T15:40:40","date_gmt":"2023-06-09T10:40:40","guid":{"rendered":"https:\/\/ilm.com.pk\/online-test\/?p=15"},"modified":"2023-06-09T15:45:14","modified_gmt":"2023-06-09T10:45:14","slug":"physics-chapter-2-vectors-and-equilibrium","status":"publish","type":"post","link":"https:\/\/ilm.com.pk\/online-test\/physics-chapter-2-vectors-and-equilibrium\/","title":{"rendered":"1st Year Physics Chapter 2 MCQs"},"content":{"rendered":"<p style=\"text-align: justify;\">You are in the right place to get 1st Year Physics Chapter 2 MCQs With Answers Vectors and Equilibrium. Here you will find important MCQs to prepare for the entrance test. This chapter is about Vectors which are the physical quantities that have both direction and numerical properties. So, at the beginning of the chapter, there are some basic concepts of vectors. Then there is the addition of these vectors by the rectangular components. After this, we have the product of two vectors. There are two types of vector multiplication. One is a scalar or dot product and the other is a vector or cross product. Then there is the concept of Torque. After this, we have the equilibrium of forces. There is the first condition of equilibrium and then there is the second condition of equilibrium. Check important MCQs of this chapter below.<\/p>\n<h2 style=\"text-align: center;\">1st Year Physics Chapter 2 MCQs With Answers Vectors and Equilibrium<\/h2>\n<div class='ays-quiz-wrap'>\n            <div class='ays-quiz-container ays_quiz_elegant_light  '\n                 data-quest-effect='shake' \n                 data-hide-bg-image='false'\n                 id='ays-quiz-container-3'>\n                <div class='ays-live-bar-wrap '><div class='ays-live-bar-fill ' style='width: 0%;'><span><span class='ays-live-bar-percent ays-live-bar-count'><\/span>\/17<\/span><\/div><\/div>\n                \n                <div class='ays-questions-container'>\n                    <div class='ays-quiz-some-items-icons-wrap'><\/div>\n                    <span class='ays_quizn_ancnoxneri_qanak'><i class='ays_fa ays_fa_users'><\/i> 2299<\/span>\n                    <div id='ays-quiz-questions-nav-wrap-3' class='ays-quiz-questions-nav-wrap'><div class='ays-quiz-questions-nav-go-left'>\n                    <i class='ays_fa ays_fa_angle_left'><\/i>\n                <\/div><div class='ays-quiz-questions-nav-go-right'>\n                    <i class='ays_fa ays_fa_angle_right'><\/i>\n                <\/div><div class='ays-quiz-questions-nav-content'><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='86' class='ays_questions_nav_question'>1<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='85' class='ays_questions_nav_question'>2<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='78' class='ays_questions_nav_question'>3<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='82' class='ays_questions_nav_question'>4<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='79' class='ays_questions_nav_question'>5<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='83' class='ays_questions_nav_question'>6<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='87' class='ays_questions_nav_question'>7<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='74' class='ays_questions_nav_question'>8<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='90' class='ays_questions_nav_question'>9<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='80' class='ays_questions_nav_question'>10<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='76' class='ays_questions_nav_question'>11<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='88' class='ays_questions_nav_question'>12<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='77' class='ays_questions_nav_question'>13<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='81' class='ays_questions_nav_question'>14<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='75' class='ays_questions_nav_question'>15<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='89' class='ays_questions_nav_question'>16<\/a><\/div><div class='ays-quiz-questions-nav-item'><a href='javascript:void(0);' data-id='84' class='ays_questions_nav_question'>17<\/a><\/div><\/div><\/div>\n                    <form \n                        action='' \n                        method='post' \n                        autocomplete='off'\n                        id='ays_finish_quiz_3' \n                        class='  '\n                    >\n            <input type='hidden' value='list' class='answer_view_class'>\n            <input type='hidden' value='' class='ays_qm_enable_arrows'><section  style='display:none;'  class='ays_quiz_timer_container'>\n                <div class='ays-quiz-timer ' data-timer='100'><\/div>\n                <div class='ays-quiz-after-timer  empty_after_timer_text '><\/div>\n                <hr style='height:1px;'>\n            <\/section>\n            \n            <div class='step active-step'>\n                <div class='ays-abs-fs ays-start-page'>\n                    \n                    \n                    <p class='ays-fs-title'>Physics Chapter 2<\/p>\n                    \n                    <input type='hidden' name='ays_quiz_id' value='3'\/>\n                    <input type='hidden' name='ays_quiz_questions' value='90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74'>\n                    \n                    <div class='ays_buttons_div'>\n                        <input type='button'   name='next' class='ays_next start_button action-button' value='Start' data-enable-leave-page=\"false\" \/>\n                    <\/div>\n                    \n                    \n                <\/div>\n            <\/div><div class='step  '\n                        data-question-id='86'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>1 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p class=\"MsoNormal\">1. Let V = (2.00 m)\u02c6i + (6.00 m)\u02c6j \u2212 (3.00 m) \u02c6k. The magnitude of V is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-86]' id='ays-answer-141-3' value='141'\/>\n\n                    <label for='ays-answer-141-3' class='  ays_position_initial '>\n                        A) 7.42 m\n                    <\/label>\n                    <label for='ays-answer-141-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-86]' id='ays-answer-138-3' value='138'\/>\n\n                    <label for='ays-answer-138-3' class='  ays_position_initial '>\n                        B) 5.00 m\n                    <\/label>\n                    <label for='ays-answer-138-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-86]' id='ays-answer-139-3' value='139'\/>\n\n                    <label for='ays-answer-139-3' class='  ays_position_initial '>\n                        C) 5.57 m\n                    <\/label>\n                    <label for='ays-answer-139-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-86]' id='ays-answer-140-3' value='140'\/>\n\n                    <label for='ays-answer-140-3' class='  ays_position_initial '>\n                        D) 7.00 m\n                    <\/label>\n                    <label for='ays-answer-140-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='85'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>2 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>2. A vector in the xy plane has a magnitude of 25 m and an x component of 12 m. The angle it makes with the positive x-axis is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-85]' id='ays-answer-134-3' value='134'\/>\n\n                    <label for='ays-answer-134-3' class='  ays_position_initial '>\n                        A) 26\u25e6\n                    <\/label>\n                    <label for='ays-answer-134-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-85]' id='ays-answer-135-3' value='135'\/>\n\n                    <label for='ays-answer-135-3' class='  ays_position_initial '>\n                        B) 29\u25e6\n                    <\/label>\n                    <label for='ays-answer-135-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-85]' id='ays-answer-137-3' value='137'\/>\n\n                    <label for='ays-answer-137-3' class='  ays_position_initial '>\n                        C) 64\u25e6\n                    <\/label>\n                    <label for='ays-answer-137-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-85]' id='ays-answer-136-3' value='136'\/>\n\n                    <label for='ays-answer-136-3' class='  ays_position_initial '>\n                        D) 61\u25e6\n                    <\/label>\n                    <label for='ays-answer-136-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='78'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>3 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p class=\"MsoNormal\">3. If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-78]' id='ays-answer-107-3' value='107'\/>\n\n                    <label for='ays-answer-107-3' class='  ays_position_initial '>\n                        A) the scalar product of the vectors must be positive\n                    <\/label>\n                    <label for='ays-answer-107-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-78]' id='ays-answer-109-3' value='109'\/>\n\n                    <label for='ays-answer-109-3' class='  ays_position_initial '>\n                        B) none of the above\n                    <\/label>\n                    <label for='ays-answer-109-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-78]' id='ays-answer-108-3' value='108'\/>\n\n                    <label for='ays-answer-108-3' class='  ays_position_initial '>\n                        C) the vectors must be parallel and in opposite directions\n                    <\/label>\n                    <label for='ays-answer-108-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-78]' id='ays-answer-106-3' value='106'\/>\n\n                    <label for='ays-answer-106-3' class='  ays_position_initial '>\n                        D) the scalar product of the vectors must be negative\n                    <\/label>\n                    <label for='ays-answer-106-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='82'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>4 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>4. A certain vector in the xy-plane has an x component of 4 m and a y component of 10 m. It is then rotated in the xy-plane so its x component is doubled. Its new y component is about:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-82]' id='ays-answer-124-3' value='124'\/>\n\n                    <label for='ays-answer-124-3' class='  ays_position_initial '>\n                        A) 5.0 m\n                    <\/label>\n                    <label for='ays-answer-124-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-82]' id='ays-answer-125-3' value='125'\/>\n\n                    <label for='ays-answer-125-3' class='  ays_position_initial '>\n                        B) 4.5 m\n                    <\/label>\n                    <label for='ays-answer-125-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-82]' id='ays-answer-122-3' value='122'\/>\n\n                    <label for='ays-answer-122-3' class='  ays_position_initial '>\n                        C) 20 m\n                    <\/label>\n                    <label for='ays-answer-122-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-82]' id='ays-answer-123-3' value='123'\/>\n\n                    <label for='ays-answer-123-3' class='  ays_position_initial '>\n                        D) 7.2 m\n                    <\/label>\n                    <label for='ays-answer-123-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='79'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>5 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>5. If the magnitude of the sum of two vectors is less than the magnitude of either vector, then:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-79]' id='ays-answer-110-3' value='110'\/>\n\n                    <label for='ays-answer-110-3' class='  ays_position_initial '>\n                        A) the scalar product of the vectors must be negative\n                    <\/label>\n                    <label for='ays-answer-110-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-79]' id='ays-answer-113-3' value='113'\/>\n\n                    <label for='ays-answer-113-3' class='  ays_position_initial '>\n                        B) the vectors must be parallel and in the same direction\n                    <\/label>\n                    <label for='ays-answer-113-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-79]' id='ays-answer-111-3' value='111'\/>\n\n                    <label for='ays-answer-111-3' class='  ays_position_initial '>\n                        C) the scalar product of the vectors must be positive\n                    <\/label>\n                    <label for='ays-answer-111-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-79]' id='ays-answer-112-3' value='112'\/>\n\n                    <label for='ays-answer-112-3' class='  ays_position_initial '>\n                        D) the vectors must be parallel and in opposite directions\n                    <\/label>\n                    <label for='ays-answer-112-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='83'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>6 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>6. The angle between An = (\u221225 m)\u02c6i + (45 m)\u02c6j and the positive x-axis is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-83]' id='ays-answer-128-3' value='128'\/>\n\n                    <label for='ays-answer-128-3' class='  ays_position_initial '>\n                        A) 119\u25e6\n                    <\/label>\n                    <label for='ays-answer-128-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-83]' id='ays-answer-127-3' value='127'\/>\n\n                    <label for='ays-answer-127-3' class='  ays_position_initial '>\n                        B) 61\u25e6\n                    <\/label>\n                    <label for='ays-answer-127-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-83]' id='ays-answer-126-3' value='126'\/>\n\n                    <label for='ays-answer-126-3' class='  ays_position_initial '>\n                        C) 29\u25e6\n                    <\/label>\n                    <label for='ays-answer-126-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-83]' id='ays-answer-129-3' value='129'\/>\n\n                    <label for='ays-answer-129-3' class='  ays_position_initial '>\n                        D) 151\u25e6\n                    <\/label>\n                    <label for='ays-answer-129-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='87'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>7 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>7. A vector has a component of 10 m in the +x direction, a component of 10 m in the +y direction, and a component of 5 m in the +z direction. The magnitude of this vector is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-87]' id='ays-answer-142-3' value='142'\/>\n\n                    <label for='ays-answer-142-3' class='  ays_position_initial '>\n                        A) zero\n                    <\/label>\n                    <label for='ays-answer-142-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-87]' id='ays-answer-144-3' value='144'\/>\n\n                    <label for='ays-answer-144-3' class='  ays_position_initial '>\n                        B) 20 m\n                    <\/label>\n                    <label for='ays-answer-144-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-87]' id='ays-answer-145-3' value='145'\/>\n\n                    <label for='ays-answer-145-3' class='  ays_position_initial '>\n                        C) 25 m\n                    <\/label>\n                    <label for='ays-answer-145-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-87]' id='ays-answer-143-3' value='143'\/>\n\n                    <label for='ays-answer-143-3' class='  ays_position_initial '>\n                        D) 15 m\n                    <\/label>\n                    <label for='ays-answer-143-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='74'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>8 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>8. A vector in the xy plane has a magnitude of 25 m and an x component of 12 m. The angle it makes with the positive x-axis is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-74]' id='ays-answer-93-3' value='93'\/>\n\n                    <label for='ays-answer-93-3' class='  ays_position_initial '>\n                        A) 64\u25e6\n                    <\/label>\n                    <label for='ays-answer-93-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-74]' id='ays-answer-90-3' value='90'\/>\n\n                    <label for='ays-answer-90-3' class='  ays_position_initial '>\n                        B) 26\u25e6\n                    <\/label>\n                    <label for='ays-answer-90-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-74]' id='ays-answer-92-3' value='92'\/>\n\n                    <label for='ays-answer-92-3' class='  ays_position_initial '>\n                        C) 61\u25e6\n                    <\/label>\n                    <label for='ays-answer-92-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-74]' id='ays-answer-91-3' value='91'\/>\n\n                    <label for='ays-answer-91-3' class='  ays_position_initial '>\n                        D) 29\u25e6\n                    <\/label>\n                    <label for='ays-answer-91-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='90'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>9 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p class=\"MsoNormal\">9. A vector has a magnitude of 12. When its tail is at the origin it lies between the positive x-axis and the negative y-axis and makes an angle of 30\u25e6 with the x-axis. Its y component is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-90]' id='ays-answer-155-3' value='155'\/>\n\n                    <label for='ays-answer-155-3' class='  ays_position_initial '>\n                        A) \u22126 \u221a3\n                    <\/label>\n                    <label for='ays-answer-155-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-90]' id='ays-answer-156-3' value='156'\/>\n\n                    <label for='ays-answer-156-3' class='  ays_position_initial '>\n                        B) 6\n                    <\/label>\n                    <label for='ays-answer-156-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-90]' id='ays-answer-157-3' value='157'\/>\n\n                    <label for='ays-answer-157-3' class='  ays_position_initial '>\n                        C) \u22126\n                    <\/label>\n                    <label for='ays-answer-157-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-90]' id='ays-answer-154-3' value='154'\/>\n\n                    <label for='ays-answer-154-3' class='  ays_position_initial '>\n                        D) 6\/ \u221a3\n                    <\/label>\n                    <label for='ays-answer-154-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='80'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>10 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>10. Two vectors lie with their tails at the same point. When the angle between them is increased by 20\u25e6 their scalar product has the same magnitude but changes from positive to negative. The original angle between them was:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-80]' id='ays-answer-114-3' value='114'\/>\n\n                    <label for='ays-answer-114-3' class='  ays_position_initial '>\n                        A) 0\n                    <\/label>\n                    <label for='ays-answer-114-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-80]' id='ays-answer-115-3' value='115'\/>\n\n                    <label for='ays-answer-115-3' class='  ays_position_initial '>\n                        B) 60\u25e6\n                    <\/label>\n                    <label for='ays-answer-115-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-80]' id='ays-answer-117-3' value='117'\/>\n\n                    <label for='ays-answer-117-3' class='  ays_position_initial '>\n                        C) 80\u25e6\n                    <\/label>\n                    <label for='ays-answer-117-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-80]' id='ays-answer-116-3' value='116'\/>\n\n                    <label for='ays-answer-116-3' class='  ays_position_initial '>\n                        D) 70\u25e6\n                    <\/label>\n                    <label for='ays-answer-116-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='76'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>11 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p class=\"MsoNormal\">11. Two vectors lie with their tails at the same point. When the angle between them has increased by 20\u25e6 the magnitude of their vector product doubles. The original angle between them was about:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-76]' id='ays-answer-98-3' value='98'\/>\n\n                    <label for='ays-answer-98-3' class='  ays_position_initial '>\n                        A) 0\u00a0\n                    <\/label>\n                    <label for='ays-answer-98-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-76]' id='ays-answer-99-3' value='99'\/>\n\n                    <label for='ays-answer-99-3' class='  ays_position_initial '>\n                        B) 18\u25e6\n                    <\/label>\n                    <label for='ays-answer-99-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-76]' id='ays-answer-101-3' value='101'\/>\n\n                    <label for='ays-answer-101-3' class='  ays_position_initial '>\n                        C) 45\u25e6\n                    <\/label>\n                    <label for='ays-answer-101-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-76]' id='ays-answer-100-3' value='100'\/>\n\n                    <label for='ays-answer-100-3' class='  ays_position_initial '>\n                        D) 25\u25e6\n                    <\/label>\n                    <label for='ays-answer-100-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='88'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>12 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p class=\"MsoNormal\">12. If An = (6 m)\u02c6i \u2212 (8 m)\u02c6j then 4An has magnitude:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-88]' id='ays-answer-149-3' value='149'\/>\n\n                    <label for='ays-answer-149-3' class='  ays_position_initial '>\n                        A) 40 m\n                    <\/label>\n                    <label for='ays-answer-149-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-88]' id='ays-answer-148-3' value='148'\/>\n\n                    <label for='ays-answer-148-3' class='  ays_position_initial '>\n                        B) 30 m\n                    <\/label>\n                    <label for='ays-answer-148-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-88]' id='ays-answer-146-3' value='146'\/>\n\n                    <label for='ays-answer-146-3' class='  ays_position_initial '>\n                        C) 10 m\n                    <\/label>\n                    <label for='ays-answer-146-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-88]' id='ays-answer-147-3' value='147'\/>\n\n                    <label for='ays-answer-147-3' class='  ays_position_initial '>\n                        D) 20 m\n                    <\/label>\n                    <label for='ays-answer-147-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='77'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>13 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p class=\"MsoNormal\">13. Vectors <b>A<\/b> and <b>B<\/b> each have magnitude L. When drawn with their tails at the same point, the angle between them is 60\u25e6. The magnitude of the vector product <b>A<\/b> \u00d7 <b>B<\/b> is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-77]' id='ays-answer-104-3' value='104'\/>\n\n                    <label for='ays-answer-104-3' class='  ays_position_initial '>\n                        A) \u221a 3L^2\/2\n                    <\/label>\n                    <label for='ays-answer-104-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-77]' id='ays-answer-102-3' value='102'\/>\n\n                    <label for='ays-answer-102-3' class='  ays_position_initial '>\n                        B) L^2\/2\u00a0\n                    <\/label>\n                    <label for='ays-answer-102-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-77]' id='ays-answer-105-3' value='105'\/>\n\n                    <label for='ays-answer-105-3' class='  ays_position_initial '>\n                        C) 2L^2\n                    <\/label>\n                    <label for='ays-answer-105-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-77]' id='ays-answer-103-3' value='103'\/>\n\n                    <label for='ays-answer-103-3' class='  ays_position_initial '>\n                        D) L^2\n                    <\/label>\n                    <label for='ays-answer-103-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='81'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>14 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>14. Vectors <strong>A<\/strong> and <strong>B<\/strong> each have magnitude L. When drawn with their tails at the same point, the angle between them is 30\u25e6. The value of <strong>A<\/strong>\u00b7 <strong>B<\/strong> is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-81]' id='ays-answer-120-3' value='120'\/>\n\n                    <label for='ays-answer-120-3' class='  ays_position_initial '>\n                        A) \u221a3L^2\/2\n                    <\/label>\n                    <label for='ays-answer-120-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-81]' id='ays-answer-121-3' value='121'\/>\n\n                    <label for='ays-answer-121-3' class='  ays_position_initial '>\n                        B) 2L^2\n                    <\/label>\n                    <label for='ays-answer-121-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-81]' id='ays-answer-119-3' value='119'\/>\n\n                    <label for='ays-answer-119-3' class='  ays_position_initial '>\n                        C) L^2\n                    <\/label>\n                    <label for='ays-answer-119-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-81]' id='ays-answer-118-3' value='118'\/>\n\n                    <label for='ays-answer-118-3' class='  ays_position_initial '>\n                        D) zero\n                    <\/label>\n                    <label for='ays-answer-118-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='75'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>15 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>15. Two vectors have magnitudes of 10 m and 15 m. The angle between them when they are drawn with their tails at the same point is 65\u25e6. The component of the longer vector along the line perpendicular to the shorter vector, in the plane of the vectors, is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-75]' id='ays-answer-97-3' value='97'\/>\n\n                    <label for='ays-answer-97-3' class='  ays_position_initial '>\n                        A) 14 m\n                    <\/label>\n                    <label for='ays-answer-97-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-75]' id='ays-answer-94-3' value='94'\/>\n\n                    <label for='ays-answer-94-3' class='  ays_position_initial '>\n                        B) 0\n                    <\/label>\n                    <label for='ays-answer-94-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-75]' id='ays-answer-95-3' value='95'\/>\n\n                    <label for='ays-answer-95-3' class='  ays_position_initial '>\n                        C) 4.2 m\n                    <\/label>\n                    <label for='ays-answer-95-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-75]' id='ays-answer-96-3' value='96'\/>\n\n                    <label for='ays-answer-96-3' class='  ays_position_initial '>\n                        D) 6.3 m\n                    <\/label>\n                    <label for='ays-answer-96-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='89'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>16 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p class=\"MsoNormal\">16. If the x component of a vector An, in the xy-plane, is half as large as the magnitude of the vector, the tangent of the angle between the vector and the x-axis is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-89]' id='ays-answer-151-3' value='151'\/>\n\n                    <label for='ays-answer-151-3' class='  ays_position_initial '>\n                        A) 1\/2\n                    <\/label>\n                    <label for='ays-answer-151-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-89]' id='ays-answer-153-3' value='153'\/>\n\n                    <label for='ays-answer-153-3' class='  ays_position_initial '>\n                        B) 3\/2\n                    <\/label>\n                    <label for='ays-answer-153-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-89]' id='ays-answer-152-3' value='152'\/>\n\n                    <label for='ays-answer-152-3' class='  ays_position_initial '>\n                        C) \u221a3\/2\n                    <\/label>\n                    <label for='ays-answer-152-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-89]' id='ays-answer-150-3' value='150'\/>\n\n                    <label for='ays-answer-150-3' class='  ays_position_initial '>\n                        D) \u221a3\n                    <\/label>\n                    <label for='ays-answer-150-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_previous action-button ' value='Prev' \/>\n                        \n                        <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>\n                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>\n                    <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step  '\n                        data-question-id='84'\n                        data-type='radio'\n                        data-required='false'>\n                        \n                        <p class='ays-question-counter animated'>17 \/ 17<\/p>\n                        <div class='ays-abs-fs'>\n                            \n                            <div class='ays_quiz_question'>\n                                <p>17. The angle between An = (25 m)\u02c6i + (45 m)\u02c6j and the positive x-axis is:<\/p>\n\n                            <\/div>\n                            \n                            <div class='ays-quiz-answers ays_list_view_container  '>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-84]' id='ays-answer-132-3' value='132'\/>\n\n                    <label for='ays-answer-132-3' class='  ays_position_initial '>\n                        A) 151\u25e6\n                    <\/label>\n                    <label for='ays-answer-132-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-84]' id='ays-answer-130-3' value='130'\/>\n\n                    <label for='ays-answer-130-3' class='  ays_position_initial '>\n                        B) 29\u25e6\n                    <\/label>\n                    <label for='ays-answer-130-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='0'\/>\n\n                <input type='radio' name='ays_questions[ays-question-84]' id='ays-answer-133-3' value='133'\/>\n\n                    <label for='ays-answer-133-3' class='  ays_position_initial '>\n                        C) 209\u25e6\n                    <\/label>\n                    <label for='ays-answer-133-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div>\n            <div class='ays-field ays_list_view_item'>\n                <input type='hidden' name='ays_answer_correct[]' value='1'\/>\n\n                <input type='radio' name='ays_questions[ays-question-84]' id='ays-answer-131-3' value='131'\/>\n\n                    <label for='ays-answer-131-3' class='  ays_position_initial '>\n                        D) 61\u25e6\n                    <\/label>\n                    <label for='ays-answer-131-3' class='ays_answer_image ays_empty_before_content'><\/label>\n\n                    \n            <\/div><\/div>\n                            \n                            \n                            <div class='ays_buttons_div'>\n                            \n                            <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>\n                            <input type='button' name='next' class='ays_previous action-button '  value='Prev' \/>\n                            <i class='ays_display_none ays_fa ays_fa_flag_checkered ays_finish action-button ays_arrow ays_next_arrow'><\/i><input type='submit' name='ays_finish_quiz' class='  ays_next ays_finish action-button' value='See Result'\/>\n                        <\/div>\n                            \n                            <div class='wrong_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='right_answer_text ays_do_not_show' style='display:none'>\n                                \n                            <\/div>\n                            <div class='ays_questtion_explanation' style='display:none'>\n                                \n                            <\/div>\n                            \n                        <\/div>\n                    <\/div><div class='step ays_thank_you_fs'>\n            <div class='ays-abs-fs ays-end-page'>\n            <div style='text-align:center;'><div data-class='lds-ellipsis' data-role='loader' class='ays-loader'><div><\/div><div><\/div><div><\/div><div><\/div><\/div><\/div><div class='ays_quiz_results_page'><div class='ays_score_message'><\/div><div class='ays_message'><\/div><p class='ays_score ays_score_display_none animated'>Your score is <\/p><div class='ays-quiz-social-shares'><div class='ays-quiz-social-shares-heading'><\/div>\n                    <!-- Branded LinkedIn button -->\n                    <a class='ays-share-btn ays-to-share ays-share-btn-branded ays-share-btn-linkedin'\n                       href='https:\/\/www.linkedin.com\/shareArticle?mini=true&url=https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/posts\/15'\n                       title='Share on LinkedIn'>\n                        <span class='ays-quiz-share-btn-icon'><\/span>\n                        <span class='ays-share-btn-text'>LinkedIn<\/span>\n                    <\/a>\n                    <!-- Branded Facebook button -->\n                    <a class='ays-share-btn ays-to-share ays-share-btn-branded ays-share-btn-facebook'\n                       href='https:\/\/www.facebook.com\/sharer\/sharer.php?u=https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/posts\/15'\n                       title='Share on Facebook'>\n                        <span class='ays-quiz-share-btn-icon'><\/span>\n                        <span class='ays-share-btn-text'>Facebook<\/span>\n                    <\/a>\n                <!-- Branded Twitter button -->\n                <a class='ays-share-btn ays-to-share ays-share-btn-branded ays-share-btn-twitter'\n                   href='https:\/\/twitter.com\/share?url=https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/posts\/15'\n                   title='Share on Twitter'>\n                    <span class='ays-quiz-share-btn-icon'><\/span>\n                    <span class='ays-share-btn-text'>Twitter<\/span>\n                <\/a>\n                <!-- Branded VK button -->\n                <a class='ays-share-btn ays-to-share ays-share-btn-branded ays-share-btn-vkontakte'\n                   href='https:\/\/vk.com\/share.php?url=https:\/\/ilm.com.pk\/online-test\/wp-json\/wp\/v2\/posts\/15'\n                   title='Share on VKontakte'>\n                    <span class='ays-quiz-share-btn-icon'><\/span>\n                    <span class='ays-share-btn-text'>VKontakte<\/span>\n                <\/a><\/div><p class='ays_restart_button_p'><\/p><\/div><\/div><\/div><style> div#ays-quiz-container-3 * { box-sizing: border-box; } \/* Styles for Internet Explorer start *\/ #ays-quiz-container-3 #ays_finish_quiz_3 { } \/* Styles for Quiz container *\/ #ays-quiz-container-3{ min-height: 350px; width:100%; background-color:#f2f2f2; background-position:center center;border-radius:0px 0px 0px 0px;box-shadow: 0px 0px 15px 1px rgba(0,0,0,0.4);border-width: 1px;border-style: solid;border-color: #2fa0ca;} \/* Styles for Navigation bar *\/ #ays-quiz-questions-nav-wrap-3 { width: 100%;border-radius:0px 0px 0px 0px;box-shadow: 0px 0px 15px 1px rgba(0,0,0,0.4);border-width: 1px;border-style: solid;border-color: #2fa0ca;} #ays-quiz-questions-nav-wrap-3 .ays-quiz-questions-nav-content .ays-quiz-questions-nav-item a.ays_questions_nav_question { color: #2c2c2c; border-color: #2c2c2c; background-color: #f2f2f2; } #ays-quiz-questions-nav-wrap-3 .ays-quiz-questions-nav-content .ays-quiz-questions-nav-item.ays-quiz-questions-nav-item-active a.ays_questions_nav_question { box-shadow: inset 0 0 5px #2c2c2c, 0 0 5px #2c2c2c; } #ays-quiz-questions-nav-wrap-3 .ays-quiz-questions-nav-content .ays-quiz-questions-nav-item.ays-quiz-questions-nav-item-answered a.ays_questions_nav_question { color: #f2f2f2; border-color: #f2f2f2; background-color: #2c2c2c; } #ays-quiz-questions-nav-wrap-3 .ays-quiz-questions-nav-content .ays-quiz-questions-nav-item a.ays_questions_nav_question.ays_quiz_correct_answer { color: rgba(39, 174, 96, 1); border-color: rgba(39, 174, 96, 1); 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div#ays-quiz-container-3 .ays-questions-container .ays-modern-dark-question *, div#ays-quiz-container-3 .ays-questions-container .ays_quiz_question, div#ays-quiz-container-3 .ays-questions-container .ays_quiz_question *{ word-break: break-word; } #ays-quiz-container-3 .ays-quiz-timer p { font-size: 16px; } #ays-quiz-container-3 section.ays_quiz_redirection_timer_container hr, #ays-quiz-container-3 section.ays_quiz_timer_container hr { margin: 0; } #ays-quiz-container-3 section.ays_quiz_timer_container.ays_quiz_timer_red_warning .ays-quiz-timer { color: red; } #ays-quiz-container-3 .ays_thank_you_fs p { text-align: center; } #ays-quiz-container-3 .information_form input[type='text'], #ays-quiz-container-3 .information_form input[type='url'], #ays-quiz-container-3 .information_form input[type='number'], #ays-quiz-container-3 .information_form input[type='email'], #ays-quiz-container-3 .information_form input[type='tel'], #ays-quiz-container-3 .information_form textarea, #ays-quiz-container-3 .information_form select, #ays-quiz-container-3 .information_form option { color: initial !important; outline: none; margin-left: 0; background-image: unset; } #ays-quiz-container-3 .information_form input[type='checkbox'] { margin: 0 10px; outline: initial; -webkit-appearance: auto; -moz-appearance: auto; position: initial; width: initial; height: initial; border: initial; background: initial; } #ays-quiz-container-3 .information_form input[type='checkbox']::after { content: none; } #ays-quiz-container-3 .wrong_answer_text{ color:#ff4d4d; } #ays-quiz-container-3 .right_answer_text{ color:#33cc33; } #ays-quiz-container-3 .ays_cb_and_a, #ays-quiz-container-3 .ays_cb_and_a * { color: rgb(44,44,44); text-align: center; } #ays-quiz-container-3 iframe { \/*min-height: 350px;*\/ } #ays-quiz-container-3 label.ays_for_checkbox, #ays-quiz-container-3 span.ays_checkbox_for_span { color: initial !important; display: block; } \/* Quiz textarea height *\/ #ays-quiz-container-3 textarea { height: 100px; min-height: 100px; } \/* Quiz rate and passed users count *\/ #ays-quiz-container-3 .ays_quizn_ancnoxneri_qanak, #ays-quiz-container-3 .ays_quiz_rete_avg{ color:#f2f2f2; background-color:#2c2c2c; } #ays-quiz-container-3 .ays-questions-container > .ays_quizn_ancnoxneri_qanak { padding: 5px 20px; } #ays-quiz-container-3 div.for_quiz_rate.ui.star.rating .icon { color: rgba(44,44,44,0.35); } #ays-quiz-container-3 .ays_quiz_rete_avg div.for_quiz_rate_avg.ui.star.rating .icon { color: rgba(242,242,242,0.5); } #ays-quiz-container-3 .ays_quiz_rete .ays-quiz-rate-link-box .ays-quiz-rate-link { color: #2c2c2c; } \/* Loaders *\/ #ays-quiz-container-3 div.lds-spinner, #ays-quiz-container-3 div.lds-spinner2 { color: #2c2c2c; } #ays-quiz-container-3 div.lds-spinner div:after, #ays-quiz-container-3 div.lds-spinner2 div:after { background-color: #2c2c2c; } #ays-quiz-container-3 .lds-circle, #ays-quiz-container-3 .lds-facebook div, #ays-quiz-container-3 .lds-ellipsis div{ background: #2c2c2c; } #ays-quiz-container-3 .lds-ripple div{ border-color: #2c2c2c; } #ays-quiz-container-3 .lds-dual-ring::after, #ays-quiz-container-3 .lds-hourglass::after{ border-color: #2c2c2c transparent #2c2c2c transparent; } \/* Stars *\/ #ays-quiz-container-3 .ui.rating .icon, #ays-quiz-container-3 .ui.rating .icon:before { font-family: Rating !important; } \/* Progress bars *\/ #ays-quiz-container-3 #ays_finish_quiz_3 .ays-progress { border-color: rgba(44,44,44,0.8); } #ays-quiz-container-3 #ays_finish_quiz_3 .ays-progress-bg { background-color: rgba(44,44,44,0.3); } #ays-quiz-container-3 . { background-color: #2fa0ca; } #ays-quiz-container-3 . { background-color: #2c2c2c; } #ays-quiz-container-3 .ays-progress-value { color: #2c2c2c; text-align: center; } #ays-quiz-container-3 .ays-progress-bar { background-color: #2fa0ca; } #ays-quiz-container-3 .ays-question-counter .ays-live-bar-wrap { direction:ltr !important; } #ays-quiz-container-3 .ays-live-bar-fill{ color: #2c2c2c; 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