{"id":101,"date":"2018-01-14T13:27:13","date_gmt":"2018-01-14T05:27:13","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=101"},"modified":"2018-01-14T13:27:13","modified_gmt":"2018-01-14T05:27:13","slug":"solving-vectors-problems-determine-resultant-of-two-vectors-using-pythagorean-theorem","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/solving-vectors-problems-determine-resultant-of-two-vectors-using-pythagorean-theorem.htm","title":{"rendered":"Determine resultant of two vectors using Pythagorean theorem","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-two-vectors-using-pythagorean-theorem.htm\">determine resultant of two vectors using the Pythagorean theorem<\/a><\/p>\n<p class=\"western\" style=\"text-align: justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1. Determine the resultant of the two <a href=\"https:\/\/gurumuda.net\/physics\/distance-and-displacement-problems-and-solutions.htm\" rel=\"noopener\">displacement<\/a> vectors as shown in the figure below.<\/span><\/span><\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-102\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/01\/Solving-vectors-problems-\u2013-determine-resultant-of-two-vectors-using-Pythagorean-theorem-1.png\" alt=\"Solving vectors problems \u2013 determine resultant of two vectors using Pythagorean theorem 1\" width=\"268\" height=\"193\" \/><\/p>\n\n<p class=\"western\" style=\"text-align: justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2. Find the <a href=\"https:\/\/gurumuda.net\/physics\/solving-vectors-problems-determine-resultant-of-two-vectors-using-pythagorean-theorem.htm\" rel=\"noopener\">resultant of two forces<\/a>, 12 N and 5 N. <\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-106\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/01\/Solving-vectors-problems-\u2013-determine-resultant-of-two-vectors-using-Pythagorean-theorem-2-1.png\" alt=\"Solving vectors problems \u2013 determine resultant of two vectors using Pythagorean theorem 2\" width=\"251\" height=\"105\" \/><\/p>\n\n<p class=\"western\" style=\"text-align: justify\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3. <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">A student walks 4 meters to the west, then 6 meters to the north and 4 meters to the west. Find the student displacement.<\/span><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Solution<\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-104\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/01\/Solving-vectors-problems-\u2013-determine-resultant-of-two-vectors-using-Pythagorean-theorem-3.png\" alt=\"Solving vectors problems \u2013 determine resultant of two vectors using Pythagorean theorem 3\" width=\"181\" height=\"155\" \/><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-105\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/01\/Solving-vectors-problems-\u2013-determine-resultant-of-two-vectors-using-Pythagorean-theorem-4.png\" alt=\"Solving vectors problems \u2013 determine resultant of two vectors using Pythagorean theorem 4\" width=\"121\" height=\"120\" \/><\/p>\n<p class=\"western\" style=\"text-align: justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Displacement is 10 me<\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">ter, <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><span lang=\"en-US\">to the northwest<\/span><\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">.<\/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\" style=\"text-align: justify\"><!--more--><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>Solved problems in vectors &#8211; determine resultant of two vectors using the Pythagorean theorem 1. Determine the resultant of the two displacement vectors as shown in the figure below. 2. Find the resultant of two forces, 12 N and 5 N. 3. A student walks 4 meters to the west, then 6 meters to the &#8230; <a title=\"Determine resultant of two vectors using Pythagorean theorem\" class=\"read-more\" href=\"https:\/\/gurumuda.net\/physics\/solving-vectors-problems-determine-resultant-of-two-vectors-using-pythagorean-theorem.htm\" aria-label=\"Read more about Determine resultant of two vectors using Pythagorean theorem\">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 two vectors using Pythagorean theorem","_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-101","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\/101","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=101"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/101\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=101"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=101"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=101"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}