SOLUTION: u: <-1,7> v: <6,4> What is the projection of u onto v? A.) <33/13, 22/13> B.) <11/26, 22/26> C.) 17u D.) 17v

To find the projection of u onto v,
which is denoted:

projvu ,

1.  Get their dot product:  u•v 

2.  Divide that by ∥v∥2

3.  Multiply by v

-------------------------  

1.  Get their dot product:

<-1,7>•<6,4> = (-1)(6)+(7)(4) = -6+28 = 22

2.  Calculate ∥v∥2 = ∥<6,4>∥2 = 62+42 = 36+16 = 52

Divide 22 by 52  

3.  Multiply by v.  <6,4> = <,> 

Choice A)

Edwin