{"id":91,"date":"2018-01-14T13:11:48","date_gmt":"2018-01-14T05:11:48","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=91"},"modified":"2018-01-14T13:11:48","modified_gmt":"2018-01-14T05:11:48","slug":"solving-vectors-problems-determine-resultant-of-in-a-line-vector","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/solving-vectors-problems-determine-resultant-of-in-a-line-vector.htm","title":{"rendered":"Determine resultant of in a line vector","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><a href=\"https:\/\/gurumuda.net\/physics\">Solved problems in vectors<\/a> &#8211; <a href=\"https:\/\/gurumuda.net\/physics\/solving-vectors-problems-determine-resultant-of-in-a-line-vector.htm\">determine resultant of in a line vector<\/a><\/p>\n<p class=\"western\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">1. <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><span lang=\"en-US\">A student walks north as far as 10 meters and then to the south as far as 4 meters. Displacement of the student is&#8230;<\/span><\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Solution<\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">R = 10 m \u2013 4 m = 6 meters<\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><span lang=\"en-US\">Magnitude of <a href=\"https:\/\/gurumuda.net\/physics\/distance-and-displacement-problems-and-solutions.htm\" rel=\"noopener\">displacement<\/a> is 6 meters, direction of displacement is north.<\/span><\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2. F<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\">1<\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = 10 N, F<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\">2<\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = 15 N. Determine resultant vector&#8230;<\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-92\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/01\/Solving-vectors-problems-\u2013-determine-resultant-of-in-a-line-vectors-1.png\" alt=\"Solving vectors problems \u2013 determine resultant of in a line vectors 1\" width=\"125\" height=\"48\" \/>Solution<\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">R = 10 N + 15 N = 25 Newton<\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Magnitude of resultant vector is 25 Newton, direction of resultant vector is east or rightward.<\/span><\/span><\/p>\n\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3. F<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\">1<\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = 4 N, F<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\">2<\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = 8 N. Determine resultant vector&#8230;<\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-93\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/01\/Solving-vectors-problems-\u2013-determine-resultant-of-in-a-line-vectors-2.png\" alt=\"Solving vectors problems \u2013 determine resultant of in a line vectors 2\" width=\"140\" height=\"46\" \/>Solution<\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\">R = 8 N \u2013 4 N = 4 Newton<\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Magnitude of resultant vector is 4 Newton, direction of resultant vector is east or rightward.<\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4. F<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\">1<\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = 10, F<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\">2<\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = 15 N, F<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\">3<\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = 5 N. Determine resultant vector&#8230;<\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-94\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/01\/Solving-vectors-problems-\u2013-determine-resultant-of-in-a-line-vectors-3.png\" alt=\"Solving vectors problems \u2013 determine resultant of in a line vectors 3\" width=\"151\" height=\"59\" \/>Solution<\/span><\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\">R = 10 N + 5 N \u2013 15 N = 0<\/span><\/p>\n<p class=\"western\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The magnitude of the resultant vector is 0.<\/span><\/span><\/p>\n\n<p>[wpdm_package id=&#8217;542&#8242;]<\/p>\n<p>[wpdm_package id=&#8217;554&#8242;]<\/p>\n<ol>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/solving-vectors-problems-determine-resultant-of-in-a-line-vector.htm\" rel=\"noopener\">Determine the resultant of in a line vector<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/solving-vectors-problems-determine-vector-components.htm\" rel=\"noopener\">Determine vector components<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/solving-vectors-problems-determine-resultant-of-two-vectors-using-pythagorean-theorem.htm\" rel=\"noopener\">Determine the resultant of two vectors using the Pythagorean theorem<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/solving-vectors-problems-determine-resultant-of-two-vectors-using-cosines-equation.htm\" rel=\"noopener\">Determine the resultant of two vectors using cosines equation<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/solving-vectors-problems-determine-resultant-of-two-vectors-using-components-of-vector.htm\" rel=\"noopener\">Determine the resultant of two vectors using components of vectors<\/a><\/li>\n<\/ol>\n<p class=\"western\"><!--more--><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>Solved problems in vectors &#8211; determine resultant of in a line vector 1. A student walks north as far as 10 meters and then to the south as far as 4 meters. Displacement of the student is&#8230; Solution R = 10 m \u2013 4 m = 6 meters Magnitude of displacement is 6 meters, direction &#8230; <a title=\"Determine resultant of in a line vector\" class=\"read-more\" href=\"https:\/\/gurumuda.net\/physics\/solving-vectors-problems-determine-resultant-of-in-a-line-vector.htm\" aria-label=\"Read more about Determine resultant of in a line vector\">Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Determine resultant of in a line vector","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-91","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/91","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=91"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/91\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=91"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=91"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=91"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}