Unformatted text preview: b onto a is <1 ,2 , 2 > Â· < 3 , 3 , 4 >  <1 ,2 , 2 >  =1 3 . The vector projection of b onto a is therefore1 3 <1 ,2 , 2 > 3 = 1 9 <1 ,2 , 2 > . 58. (a) The the length of any side of any triangle is less than or equal to the sum of the lengths of the other two sides. (b)  a + b  2 = ( a + b ) Â· ( a + b ) = a Â· a + a Â· b + b Â· a + b Â· b =  a  2 + 2  a  b  cos Î¸ +  b  2 â‰¤  a  2 + 2  a  b  +  b  2 = (  a  +  b  ) 2 . Therefore,  a + b  â‰¤  a  +  b  ....
View
Full Document
 Spring '08
 Starr
 Math, Dot Product, Equals sign, hot dogs, soft drinks

Click to edit the document details