{"id":459,"date":"2020-03-13T18:30:03","date_gmt":"2020-03-13T18:30:03","guid":{"rendered":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/?p=459"},"modified":"2021-12-31T01:22:07","modified_gmt":"2021-12-31T01:22:07","slug":"section-2-4","status":"publish","type":"post","link":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/2020\/03\/13\/section-2-4\/","title":{"rendered":"Chapter 2: Vectors"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2.4 Vectors and trig<\/h2>\n\n\n\n<p>Notice that the <em>x<\/em> and <em>y<\/em> components of a vector are at right angles to each other, and the magnitude of the vector makes the hypotenuse of the triangle.&nbsp;We can use trig functions and the Pythagorean theorem!<\/p>\n\n\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" src=\"https:\/\/my.compclassnotes.com\/canonical\/1475fc06-2bb3-451f-9c89-89304f1eb342\" width=\"800\" height=\"700\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"yes\" class=\"iframe-class\" frameborder=\"0\"><\/iframe>\n\n\n\n\n<p>It is common practice to give the direction as an angle between 0\u00b0 and 90\u00b0, along with a reference axis and direction of measurement. For example, consider an&nbsp;angle that is 150\u00b0 when measured counterclockwise from the&nbsp;<em>+x<\/em> axis (which is the standard way of measuring angles in a math class). This same angle could be described as 30\u00b0 when measured clockwise from the <em>-x<\/em> axis, or 60\u00b0 measured counterclockwise from the <em>+y<\/em> axis.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Practice 2.3<\/h4>\n\n\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" src=\"https:\/\/my.compclassnotes.com\/canonical\/PHYS110\/PHYS110_book_chapter2_pracQ2\" width=\"100%\" height=\"700\" marginwidth=\"0\" marginheight=\"0\" 0=\"scrolling=&quot;yes\u201d\" scrolling=\"yes\" class=\"iframe-class\" frameborder=\"0\"><\/iframe>\n\n\n\n\n<h4 class=\"wp-block-heading\">Practice 2.4<\/h4>\n\n\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" src=\"https:\/\/my.compclassnotes.com\/canonical\/PHYS110\/PHYS110_book_chapter2_pracQ3\" width=\"100%\" height=\"700\" marginwidth=\"0\" marginheight=\"0\" 0=\"scrolling=&quot;yes\u201d\" scrolling=\"yes\" class=\"iframe-class\" frameborder=\"0\"><\/iframe>\n\n\n\n\n<h4 class=\"wp-block-heading\">Practice 2.5<\/h4>\n\n\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" src=\"https:\/\/my.compclassnotes.com\/canonical\/PHYS110\/PHYS110_book_chapter2_pracQ1\" width=\"100%\" height=\"700\" marginwidth=\"0\" marginheight=\"0\" 0=\"scrolling=&quot;yes\u201d\" scrolling=\"yes\" class=\"iframe-class\" frameborder=\"0\"><\/iframe>\n\n\n\n\n<h4 class=\"wp-block-heading\">Practice 2.6<\/h4>\n\n\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" src=\"https:\/\/my.compclassnotes.com\/canonical\/PHYS110\/PHYS110_book_chapter2_pracQ4\" width=\"100%\" height=\"700\" marginwidth=\"0\" marginheight=\"0\" 0=\"scrolling=&quot;yes\u201d\" scrolling=\"yes\" class=\"iframe-class\" frameborder=\"0\"><\/iframe>\n\n\n\n\n<h4 class=\"wp-block-heading\">Practice 2.7<\/h4>\n\n\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" src=\"https:\/\/my.compclassnotes.com\/canonical\/PHYS110\/PHYS110_book_chapter2_pracQ5\" width=\"100%\" height=\"700\" marginwidth=\"0\" marginheight=\"0\" 0=\"scrolling=&quot;yes\u201d\" scrolling=\"yes\" class=\"iframe-class\" frameborder=\"0\"><\/iframe>\n\n","protected":false},"excerpt":{"rendered":"<p>2.4 Vectors and trig Notice that the x and y components of a vector are at right angles to each other, and the magnitude of the vector makes the hypotenuse of the triangle.&nbsp;We can use trig functions and the Pythagorean <span class=\"readmore\"><a href=\"https:\/\/books.compclassnotes.com\/rothphys110-2e\/2020\/03\/13\/section-2-4\/\">Continue Reading<\/a><\/span><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-459","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/posts\/459","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/comments?post=459"}],"version-history":[{"count":5,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/posts\/459\/revisions"}],"predecessor-version":[{"id":1677,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/posts\/459\/revisions\/1677"}],"wp:attachment":[{"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/media?parent=459"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/categories?post=459"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/tags?post=459"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}