{"id":1356,"date":"2018-02-11T16:38:26","date_gmt":"2018-02-11T21:38:26","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/?p=1356"},"modified":"2018-02-11T11:39:21","modified_gmt":"2018-02-11T16:39:21","slug":"math-9-lesson-3-spring-2018-2112018","status":"publish","type":"post","link":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/2018\/02\/11\/math-9-lesson-3-spring-2018-2112018\/","title":{"rendered":"Math 9, Lesson 3, Spring 2018, 2\/11\/2018"},"content":{"rendered":"<p>For a given vector\u00a0<strong>a<\/strong>, a vector which has the same magnitude but in the opposite direction of a is called the negative of vector\u00a0<strong>a<\/strong>\u00a0, and is denoted by \u2013<strong>a<\/strong>.<\/p>\n<p>The subtraction of a vector\u00a0<strong>v<\/strong>\u00a0from a vector\u00a0<strong>u<\/strong>\u00a0can be denoted as adding the vector \u2013<strong>v<\/strong>\u00a0to\u00a0<strong>u<\/strong>:\u00a0<strong>u<\/strong>\u00a0\u2013\u00a0<strong>v<\/strong>\u00a0=\u00a0<strong>u<\/strong>\u00a0+ (-<strong>v<\/strong>).<\/p>\n<p>A vector with the same initial point and the terminal point has zero magnitude. It is called a zero vector, or a null vector, and is denoted by\u00a0<strong>0<\/strong>.\u00a0<strong>a<\/strong>\u00a0+ (-<strong>a<\/strong>) =\u00a0<strong>a<\/strong>\u00a0\u00a0\u2013\u00a0<strong>a<\/strong>\u00a0=\u00a0<strong>0<\/strong>.<\/p>\n<p>When a vector\u00a0<strong>a<\/strong>\u00a0is multiplied by a constant k, the product k<strong>a<\/strong>\u00a0is called a scalar multiplication of<strong>\u00a0a<\/strong>\u00a0and is defined as follows:<\/p>\n<p>* If k &gt; 0, k<strong>a<\/strong>\u00a0is a vector with magnitude k|<strong>a<\/strong>| and in the same direction as\u00a0<strong>a<\/strong>;<\/p>\n<p>* If k &lt; 0, k<strong>a<\/strong>\u00a0is a vector with magnitude -k|<strong>a<\/strong>| and in the opposite direction of\u00a0<strong>a<\/strong>;<\/p>\n<p>* If k = 0, k<strong>a<\/strong>\u00a0is a zero vector\u00a0<strong>0<\/strong>.<\/p>\n<p>Homework:\u00a0<a href=\"http:\/\/blog.newtonchineseschool.org\/wangweidong\/files\/2017\/02\/WorkbookP33.pdf\" target=\"_blank\">Page 1<\/a>,\u00a0<a href=\"http:\/\/blog.newtonchineseschool.org\/wangweidong\/files\/2017\/02\/WorkbookP34.pdf\" target=\"_blank\">Page 2<\/a>,\u00a0<a href=\"http:\/\/blog.newtonchineseschool.org\/wangweidong\/files\/2017\/02\/WorkbookP35.pdf\" target=\"_blank\">Page 3<\/a>,\u00a0<a href=\"http:\/\/blog.newtonchineseschool.org\/wangweidong\/files\/2017\/02\/WorkbookP36.pdf\" target=\"_blank\">Page 4<\/a>,\u00a0<a href=\"http:\/\/blog.newtonchineseschool.org\/wangweidong\/files\/2017\/02\/WorkbookP37.pdf\" target=\"_blank\">Page 5<\/a><\/p>\n<p>Workbook Page 33, #6, #7, #10, #11, #14 \u2013 #18, #20, #21.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>For a given vector\u00a0a, a vector which has the same magnitude but in the opposite direction of a is called the negative of vector\u00a0a\u00a0, and is denoted by \u2013a. The subtraction of a vector\u00a0v\u00a0from a vector\u00a0u\u00a0can be denoted as adding the vector \u2013v\u00a0to\u00a0u:\u00a0u\u00a0\u2013\u00a0v\u00a0=\u00a0u\u00a0+ (-v). A vector with the same initial point and the terminal point [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[4,20,23,3],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1356"}],"collection":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/comments?post=1356"}],"version-history":[{"count":1,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1356\/revisions"}],"predecessor-version":[{"id":1357,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1356\/revisions\/1357"}],"wp:attachment":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/media?parent=1356"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/categories?post=1356"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/tags?post=1356"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}