{"id":59,"date":"2018-06-27T13:23:45","date_gmt":"2018-06-27T17:23:45","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/?post_type=chapter&p=59"},"modified":"2018-12-14T15:05:39","modified_gmt":"2018-12-14T20:05:39","slug":"a-vector-primer","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/chapter\/a-vector-primer\/","title":{"raw":"A Vector Primer","rendered":"A Vector Primer"},"content":{"raw":"

What is a vector?<\/h1>\r\nA vector<\/strong> is a quantity that possesses magnitude and direction.\u00a0\u00a0As an example, let's say I roundhouse kicked you in the head. \u00a0The magnitude of the force and the angle at which I kicked you would be a vector.\u00a0\u00a0I know what you're thinking:\u00a0 \"This electrical stuff sounds cool.\"\u00a0 And you'd be right.\r\n\r\n \r\n\r\n[caption id=\"attachment_60\" align=\"aligncenter\" width=\"366\"]\"\" Image retrieved from pixabay.com. Used under Creative Commons CC0 license.[\/caption]\r\n

Aside from helping me become a fighting machine, how do vectors have anything to do with electricity?<\/h1>\r\nAC values are constantly changing magnitude and direction.\u00a0\u00a0We will talk about this more in-depth in the AC generation portion of the course.\u00a0\u00a0Eventually, we will be required to add these values together.\u00a0\u00a0The sum of the vectors is called the resultant<\/strong>.\u00a0\u00a0This is all well and good when vectors are heading in the same direction...\r\n\r\n \r\n\r\n[caption id=\"attachment_265\" align=\"aligncenter\" width=\"300\"]\"\"<\/a> Figure 26. Vectors in the same direction<\/strong>[\/caption]\r\n\r\n... because you can just add them together.\r\n\r\n \r\n\r\n[caption id=\"attachment_266\" align=\"aligncenter\" width=\"300\"]\"\"<\/a> Figure 27. Vectors in the opposite direction<\/strong>[\/caption]\r\n\r\nIt isn't even bad if they are heading in the opposite direction.\u00a0\u00a0You can just subtract them.\u00a0\u00a0The only thing when adding<\/em> them in opposite directions is that you have to pay attention to which vector has the greatest value. \u00a0This will become the new\u00a0direction of the sum of the vectors.\r\n\r\nThe problem arises when they are heading in completely different directions.\r\n\r\n \r\n\r\n[caption id=\"attachment_267\" align=\"aligncenter\" width=\"300\"]\"\"<\/a> Figure 28. Vectors moving in different direction<\/strong>[\/caption]\r\n

How did you do that?<\/h1>\r\nTrust me, it is not difficult. \u00a0In order to figure out how to add vectors, we first have to talk about the quadrant system.\r\n\r\nUp next:\u00a0 Quadrants<\/strong>","rendered":"

What is a vector?<\/h1>\n

A vector<\/strong> is a quantity that possesses magnitude and direction.\u00a0\u00a0As an example, let’s say I roundhouse kicked you in the head. \u00a0The magnitude of the force and the angle at which I kicked you would be a vector.\u00a0\u00a0I know what you’re thinking:\u00a0 “This electrical stuff sounds cool.”\u00a0 And you’d be right.<\/p>\n

 <\/p>\n

\"\"
Image retrieved from pixabay.com. Used under Creative Commons CC0 license.<\/figcaption><\/figure>\n

Aside from helping me become a fighting machine, how do vectors have anything to do with electricity?<\/h1>\n

AC values are constantly changing magnitude and direction.\u00a0\u00a0We will talk about this more in-depth in the AC generation portion of the course.\u00a0\u00a0Eventually, we will be required to add these values together.\u00a0\u00a0The sum of the vectors is called the resultant<\/strong>.\u00a0\u00a0This is all well and good when vectors are heading in the same direction…<\/p>\n

 <\/p>\n

\"\"<\/a>
Figure 26. Vectors in the same direction<\/strong><\/figcaption><\/figure>\n

… because you can just add them together.<\/p>\n

 <\/p>\n

\"\"<\/a>
Figure 27. Vectors in the opposite direction<\/strong><\/figcaption><\/figure>\n

It isn’t even bad if they are heading in the opposite direction.\u00a0\u00a0You can just subtract them.\u00a0\u00a0The only thing when adding<\/em> them in opposite directions is that you have to pay attention to which vector has the greatest value. \u00a0This will become the new\u00a0direction of the sum of the vectors.<\/p>\n

The problem arises when they are heading in completely different directions.<\/p>\n

 <\/p>\n

\"\"<\/a>
Figure 28. Vectors moving in different direction<\/strong><\/figcaption><\/figure>\n

How did you do that?<\/h1>\n

Trust me, it is not difficult. \u00a0In order to figure out how to add vectors, we first have to talk about the quadrant system.<\/p>\n

Up next:\u00a0 Quadrants<\/strong><\/p>\n","protected":false},"author":422,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-59","chapter","type-chapter","status-publish","hentry"],"part":57,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/59","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/users\/422"}],"version-history":[{"count":14,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/59\/revisions"}],"predecessor-version":[{"id":549,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/59\/revisions\/549"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/parts\/57"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/59\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/media?parent=59"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapter-type?post=59"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/contributor?post=59"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/license?post=59"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}