{"id":1145,"date":"2017-03-05T16:52:10","date_gmt":"2017-03-05T21:52:10","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/?p=1145"},"modified":"2017-03-06T10:14:55","modified_gmt":"2017-03-06T15:14:55","slug":"math-9-lesson-3-spring-2017-2122017","status":"publish","type":"post","link":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/2017\/03\/05\/math-9-lesson-3-spring-2017-2122017\/","title":{"rendered":"Math 9, Lesson 3, Spring 2017, 3\/5\/2017"},"content":{"rendered":"

For a given vector a<\/strong>, a vector which has the same magnitude but in the opposite direction of a is called the negative of vector a<\/strong> , and is denoted by \u2013a<\/strong>.<\/p>\n

The subtraction of a vector v<\/strong> from a vector u<\/strong> can be denoted as adding the vector \u2013v<\/strong> to u<\/strong>: u<\/strong> \u2013 v<\/strong> = u<\/strong> + (-v<\/strong>).<\/p>\n

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 0<\/strong>. a<\/strong> + (-a<\/strong>) = a<\/strong> \u00a0\u2013 a<\/strong> = 0<\/strong>.<\/p>\n

When a vector a<\/strong> is multiplied by a constant k, the product ka<\/strong> is called a scalar multiplication of a<\/strong> and is defined as follows:<\/p>\n

* If k > 0, ka<\/strong> is a vector with magnitude k|a<\/strong>| and in the same direction as a<\/strong>;<\/p>\n

* If k < 0, ka<\/strong> is a vector with magnitude -k|a<\/strong>| and in the opposite direction of a<\/strong>;<\/p>\n

* If k = 0, ka<\/strong> is a zero vector 0<\/strong>.<\/p>\n

Homework: Page 1<\/a>, Page 2<\/a>, Page 3<\/a>, Page 4<\/a>, Page 5<\/a><\/p>\n

Workbook Page 33, #6, #7, #10, #11, #14 \u2013 #18, #20, #21.<\/p>\n

Answers to last week’s homework: answers<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

For a given vector a, a vector which has the same magnitude but in the opposite direction of a is called the negative of vector a , and is denoted by \u2013a. The subtraction of a vector v from a vector u can be denoted as adding the vector \u2013v to u: u \u2013 v […]<\/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":[4,20,19,3],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1145"}],"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=1145"}],"version-history":[{"count":2,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1145\/revisions"}],"predecessor-version":[{"id":1150,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1145\/revisions\/1150"}],"wp:attachment":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/media?parent=1145"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/categories?post=1145"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/tags?post=1145"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}