{"id":4794,"date":"2024-05-08T12:02:52","date_gmt":"2024-05-08T16:02:52","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/sastatics\/?p=4794"},"modified":"2024-05-10T04:31:07","modified_gmt":"2024-05-10T08:31:07","slug":"homework-2-d","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/sastatics\/2024\/05\/08\/homework-2-d\/","title":{"rendered":"Homework 2.D"},"content":{"rendered":"<table style=\"width: 100%;border-collapse: collapse;background-color: #faf7f7\">\n<tbody>\n<tr>\n<td style=\"width: 100%\"><a href=\"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-content\/uploads\/sites\/19\/2023\/05\/Untitled-5.pdf\"><span style=\"font-size: 12pt\"><em><strong>Problem statement<\/strong><\/em><\/span><\/a><br \/>\n<a href=\"https:\/\/youtu.be\/B8jvmK3dLEg\"><span style=\"font-size: 12pt\"><em><strong>Solution video<\/strong><\/em><\/span><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p><em><strong><span style=\"font-size: 14pt\">DISCUSSION THREAD<\/span><\/strong><\/em><\/p>\n<div class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-4795 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-content\/uploads\/sites\/19\/2023\/05\/Screen-Shot-2023-05-02-at-1.14.18-PM-300x300.jpg\" alt=\"\" width=\"300\" height=\"300\" srcset=\"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-content\/uploads\/sites\/19\/2023\/05\/Screen-Shot-2023-05-02-at-1.14.18-PM-300x300.jpg 300w, https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-content\/uploads\/sites\/19\/2023\/05\/Screen-Shot-2023-05-02-at-1.14.18-PM-150x150.jpg 150w, https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-content\/uploads\/sites\/19\/2023\/05\/Screen-Shot-2023-05-02-at-1.14.18-PM.jpg 408w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/div>\n<div><\/div>\n<div>Recall from lecture how projections can be found using dot products. For Part a), you need to find <em><strong>F<\/strong><sub>AB<\/sub><\/em> as a vector, along with the unit vector that points along the cable AD, <em><strong>u<\/strong><sub>AD<\/sub><\/em>. The projection of <em><strong>F<\/strong><sub>AB<\/sub><\/em>\u00a0onto the direction of AB is found using the dot product of \u00a0with the unit vector <em><strong>u<\/strong><sub>AD<\/sub><\/em>.<\/div>\n<div><\/div>\n<div>The dot product operation can also be used to find the cosine of the angle between two vectors.<\/div>\n<div><\/div>\n<div>Any questions? If so, ask here.<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Problem statement Solution video DISCUSSION THREAD Recall from lecture how projections can be found using dot products. For Part a), you need to find FAB as a vector, along with the unit vector that points along the cable AD, uAD. The projection of FAB\u00a0onto the direction of AB is found using the dot product of &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/sastatics\/2024\/05\/08\/homework-2-d\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Homework 2.D<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-4794","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-json\/wp\/v2\/posts\/4794","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-json\/wp\/v2\/comments?post=4794"}],"version-history":[{"count":8,"href":"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-json\/wp\/v2\/posts\/4794\/revisions"}],"predecessor-version":[{"id":5183,"href":"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-json\/wp\/v2\/posts\/4794\/revisions\/5183"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-json\/wp\/v2\/media?parent=4794"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-json\/wp\/v2\/categories?post=4794"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/sastatics\/wp-json\/wp\/v2\/tags?post=4794"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}