{"id":1669,"date":"2020-03-01T16:28:59","date_gmt":"2020-03-01T21:28:59","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/?p=1669"},"modified":"2020-03-06T13:51:39","modified_gmt":"2020-03-06T18:51:39","slug":"math-9-lesson-2-spring-2020-3-1-2020","status":"publish","type":"post","link":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/2020\/03\/01\/math-9-lesson-2-spring-2020-3-1-2020\/","title":{"rendered":"Math 9, Lesson 2, Spring 2020, 3\/1\/2020"},"content":{"rendered":"\n<p>For a given vector&nbsp;<strong>a<\/strong>, a vector which has the same magnitude but in the opposite direction of a is called the negative of vector&nbsp;<strong>a<\/strong>&nbsp;, and is denoted by \u2013<strong>a<\/strong>.<\/p>\n\n\n\n<p>The subtraction of a vector&nbsp;<strong>v<\/strong>&nbsp;from a vector&nbsp;<strong>u<\/strong>&nbsp;can be denoted as adding the vector \u2013<strong>v<\/strong>&nbsp;to&nbsp;<strong>u<\/strong>:&nbsp;<strong>u<\/strong>&nbsp;\u2013&nbsp;<strong>v<\/strong>&nbsp;=&nbsp;<strong>u<\/strong>&nbsp;+ (-<strong>v<\/strong>).<\/p>\n\n\n\n<p>A vector with the same initial point and the terminal point has zero \nmagnitude. It is called a zero vector, or a null vector, and is denoted \nby&nbsp;<strong>0<\/strong>.&nbsp;<strong>a<\/strong>&nbsp;+ (-<strong>a<\/strong>) =&nbsp;<strong>a<\/strong>&nbsp;&nbsp;\u2013&nbsp;<strong>a<\/strong>&nbsp;=&nbsp;<strong>0<\/strong>.<\/p>\n\n\n\n<p>When a vector&nbsp;<strong>a<\/strong>&nbsp;is multiplied by a constant k, the product k<strong>a<\/strong>&nbsp;is called a scalar multiplication of<strong>&nbsp;a<\/strong>&nbsp;and is defined as follows:<\/p>\n\n\n\n<p>* If k &gt; 0, k<strong>a<\/strong>&nbsp;is a vector with magnitude k|<strong>a<\/strong>| and in the same direction as&nbsp;<strong>a<\/strong>;<\/p>\n\n\n\n<p>* If k &lt; 0, k<strong>a<\/strong>&nbsp;is a vector with magnitude -k|<strong>a<\/strong>| and in the opposite direction of&nbsp;<strong>a<\/strong>;<\/p>\n\n\n\n<p>* If k = 0, k<strong>a<\/strong>&nbsp;is a zero vector&nbsp;<strong>0<\/strong>.<\/p>\n\n\n\n<p>Homework:&nbsp;<a href=\"http:\/\/blog.newtonchineseschool.org\/wangweidong\/files\/2017\/02\/WorkbookP33.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Page 1<\/a>,&nbsp;<a href=\"http:\/\/blog.newtonchineseschool.org\/wangweidong\/files\/2017\/02\/WorkbookP34.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Page 2<\/a>,&nbsp;<a href=\"http:\/\/blog.newtonchineseschool.org\/wangweidong\/files\/2017\/02\/WorkbookP35.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Page 3<\/a>,&nbsp;<a href=\"http:\/\/blog.newtonchineseschool.org\/wangweidong\/files\/2017\/02\/WorkbookP36.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Page 4<\/a>,&nbsp;<a href=\"http:\/\/blog.newtonchineseschool.org\/wangweidong\/files\/2017\/02\/WorkbookP37.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Page 5<\/a><\/p>\n\n\n\n<p>Workbook Page 33, #6, #7, #10, #11, #14 \u2013 #18, #20, #21.<\/p>\n\n\n\n<p>Answers to last homework:  <a href=\"http:\/\/blog.newtonchineseschool.org\/wangweidong\/files\/2016\/11\/AnswersCh4.pdf\">answers<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>For a given vector&nbsp;a, a vector which has the same magnitude but in the opposite direction of a is called the negative of vector&nbsp;a&nbsp;, and is denoted by \u2013a. The subtraction of a vector&nbsp;v&nbsp;from a vector&nbsp;u&nbsp;can be denoted as adding the vector \u2013v&nbsp;to&nbsp;u:&nbsp;u&nbsp;\u2013&nbsp;v&nbsp;=&nbsp;u&nbsp;+ (-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":[4,20,29,3],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1669"}],"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=1669"}],"version-history":[{"count":2,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1669\/revisions"}],"predecessor-version":[{"id":1671,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1669\/revisions\/1671"}],"wp:attachment":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/media?parent=1669"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/categories?post=1669"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/tags?post=1669"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}