{"id":680,"date":"2020-11-13T00:29:03","date_gmt":"2020-11-12T18:59:03","guid":{"rendered":"http:\/\/physicscatalyst.com\/article\/?p=680"},"modified":"2022-11-04T12:06:28","modified_gmt":"2022-11-04T06:36:28","slug":"solve-vector-algebra-problems","status":"publish","type":"post","link":"https:\/\/physicscatalyst.com\/article\/solve-vector-algebra-problems\/","title":{"rendered":"How to solve vector algebra problems in Physics"},"content":{"rendered":"\n<p>This article is about how you can solve vector algebra problems easily. You will come across <a href=\"https:\/\/physicscatalyst.com\/mech\/vectors-in-physics.php\"  rel=\"noopener noreferrer\">vectors in physics<\/a> problem very frequently. So it is must to know to solve the vector mathematics in short time.And Making sure you have done in correctly.You will find vectors in every module be it mechanics, electrostatics, magnetism<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Addition or\u00a0Subtraction of Vectors<\/h2>\n\n\n\n<p>When you need to add or subtract two or more vectors, you can use following procedure<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Select a coordinate system that is convenient. (Try to reduce the number of<br>components you need to find by choosing axes that line up with as many<br>vectors as possible.)<\/li><li>Draw a labeled sketch of the vectors described in the problem.<\/li><li>Find the x and y components of all vectors<\/li><li>Compute the resultants in x and y direction<\/li><li>If necessary, use the Pythagorean theorem to find the magnitude of the resultant vector and select a suitable trigonometric function to find the angle<br>that the resultant vector makes with the x axis.<\/li><\/ul>\n\n\n\n<p>I have made a concept map that shows how to do vector addition using components.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2012\/04\/vector-addition.png\"><img loading=\"lazy\" decoding=\"async\" width=\"708\" height=\"960\" src=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2012\/04\/vector-addition.png\" alt=\"vector addition concept map\" class=\"wp-image-2914\" srcset=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2012\/04\/vector-addition.png 708w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2012\/04\/vector-addition-221x300.png 221w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2012\/04\/vector-addition-660x895.png 660w\" sizes=\"auto, (max-width: 708px) 100vw, 708px\" \/><\/a><figcaption>Concept map for vector addition using components<\/figcaption><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Products of Vectors<\/h2>\n\n\n\n<p>When u need to perform scalar or vector product.It is nice to use the following procedure<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Select a coordinate system(x,y,z) that is convenient. (Try to reduce the number of<br>components you need to find by choosing axes that line up with as many<br>vectors as possible.).Use i,j,k as the unit vector across x,y,z axis.<\/li><li>Draw a labeled sketch of the vectors described in the problem.<\/li><li>Express all the vector in form in i,j,k forms<\/li><li>Perform the&nbsp;multiplication<\/li><\/ul>\n\n\n\n<p>Please click the link given below to download Vector Algebra synopsis<\/p>\n\n\n<div class=\"wpfilebase-attachment\">\r\n <div class=\"wpfilebase-fileicon\"><a href=\"https:\/\/physicscatalyst.com\/article\/download\/vector%20algebra.pdf\" title=\"Download Vector algebra Synopsis\"><img decoding=\"async\" align=\"middle\" src=\"https:\/\/physicscatalyst.com\/article\/wp-includes\/images\/crystal\/document.png\" alt=\"Vector algebra Synopsis\" \/><\/a><\/div>\r\n <div class=\"wpfilebase-rightcol\">\r\n  <div class=\"wpfilebase-filetitle\">\r\n   <a href=\"https:\/\/physicscatalyst.com\/article\/download\/vector%20algebra.pdf\" title=\"Download Vector algebra Synopsis\">Vector algebra Synopsis<\/a><br \/>\r\n   vector algebra.pdf<br \/>\r\n   \r\n   \r\n  <\/div>\r\n  <div class=\"wpfilebase-filedetails\" id=\"wpfilebase-filedetails1\" style=\"display: none;\">\r\n  <p>Contains short synopsis of vector algebra<\/p>\r\n  <table border=\"0\">\r\n   \r\n   <tr><td><strong>Author:<\/strong><\/td><td>physicscatalyst<\/td><\/tr>\r\n   <tr><td><strong>Platforms:<\/strong><\/td><td>Windows 98, Windows 2000, Windows XP, Windows Vista, Windows 7<\/td><\/tr>\r\n   <tr><td><strong>Requirements:<\/strong><\/td><td><a href=\"http:\/\/www.foxitsoftware.com\/pdf\/reader\/addons.php\" target=\"_blank\">PDF Reader<\/a><\/td><\/tr>\r\n   \r\n   <tr><td><strong>License:<\/strong><\/td><td>Freeware<\/td><\/tr>\r\n   <tr><td><strong>Date:<\/strong><\/td><td>April 27, 2012<\/td><\/tr>\r\n   \n  <\/table>\r\n  <\/div>\r\n <\/div>\r\n <div class=\"wpfilebase-fileinfo\">\r\n  118.6 KiB<br \/>\r\n  2936 Downloads<br \/>\r\n  <a href=\"#\" onclick=\"return wpfilebase_filedetails(1);\">Details...<\/a>\r\n <\/div>\r\n <div style=\"clear: both;\"><\/div>\r\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>You will come across vectors in physics problem very frequently.So it is must to know to solve the vector mathematics in short time.And Making sure you have done in correctly.You will find vectors in every module be it mechanics, electrostatics, magentics<\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[14,37],"tags":[],"class_list":["post-680","post","type-post","status-publish","format-standard","hentry","category-physics","category-tips-and-tricks"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How to solve vector algebra problems in Physics<\/title>\n<meta name=\"description\" content=\"This article is about How to solve vector algebra problems in Physics . 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You will come across vectors in physics problem very frequently.","og_url":"https:\/\/physicscatalyst.com\/article\/solve-vector-algebra-problems\/","og_site_name":"physicscatalyst&#039;s Blog","article_publisher":"https:\/\/www.facebook.com\/PhysicsCatalyst","article_author":"https:\/\/www.facebook.com\/PhysicsCatalyst","article_published_time":"2020-11-12T18:59:03+00:00","article_modified_time":"2022-11-04T06:36:28+00:00","og_image":[{"url":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2012\/04\/vector-addition.png","type":"","width":"","height":""}],"author":"physicscatalyst","twitter_misc":{"Written by":"physicscatalyst","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/physicscatalyst.com\/article\/solve-vector-algebra-problems\/#article","isPartOf":{"@id":"https:\/\/physicscatalyst.com\/article\/solve-vector-algebra-problems\/"},"author":{"name":"physicscatalyst","@id":"https:\/\/physicscatalyst.com\/article\/#\/schema\/person\/9b302efdc9b32e459cb1e61ab7506d3f"},"headline":"How to solve vector algebra problems in Physics","datePublished":"2020-11-12T18:59:03+00:00","dateModified":"2022-11-04T06:36:28+00:00","mainEntityOfPage":{"@id":"https:\/\/physicscatalyst.com\/article\/solve-vector-algebra-problems\/"},"wordCount":300,"commentCount":0,"publisher":{"@id":"https:\/\/physicscatalyst.com\/article\/#organization"},"image":{"@id":"https:\/\/physicscatalyst.com\/article\/solve-vector-algebra-problems\/#primaryimage"},"thumbnailUrl":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2012\/04\/vector-addition.png","articleSection":["Physics","Tips and tricks"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/physicscatalyst.com\/article\/solve-vector-algebra-problems\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/physicscatalyst.com\/article\/solve-vector-algebra-problems\/","url":"https:\/\/physicscatalyst.com\/article\/solve-vector-algebra-problems\/","name":"How to solve vector algebra problems in Physics","isPartOf":{"@id":"https:\/\/physicscatalyst.com\/article\/#website"},"primaryImageOfPage":{"@id":"https:\/\/physicscatalyst.com\/article\/solve-vector-algebra-problems\/#primaryimage"},"image":{"@id":"https:\/\/physicscatalyst.com\/article\/solve-vector-algebra-problems\/#primaryimage"},"thumbnailUrl":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2012\/04\/vector-addition.png","datePublished":"2020-11-12T18:59:03+00:00","dateModified":"2022-11-04T06:36:28+00:00","description":"This article is about How to solve vector algebra problems in Physics . 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