Question

What is the projection of `<-6 , -7, 1 >` onto `< -1 , 0, -2 >`?

Answer 1

`=4/5(-hati-2hatk)`

Explanation:

let
`veca=<-6,-7,1> =-6hati-7hatj+hatk` and
`vecb=<-1,0,-2> -hati+0hatj-2hatk`
The projection of `veca` onto `vecb` `=(veca.vecb)/|vecb|^2*vecb`
`=(6-2)/((-1)^2+(-2)^2)(-hati-2hatk)=4/5(-hati-2hatk)`