{"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<p>[irp]<\/p>\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<p>[irp]<\/p>\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<p>[irp]<\/p>\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. [irp] 2. Find the resultant of two forces, 12 N and 5 N. [irp] 3. A student walks 4 meters to the west, then 6 meters &#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}]}}