Question

Given the vectors `u=<2,2>`, `v=<-3,4>`, and `w=<1,-2>`, how do you find `3u*v`?

Answer 1

`6`

Explanation:

We have: `u = <2, 2>` and `<- 3, 4>`

`=> 3 u cdot v = 3 <2, 2> cdot <- 3, 4>`

`=> 3 u cdot v = <6, 6> cdot <- 3, 4>`

`=> 3 u cdot v = (6 cdot (- 3)) + (6 cdot 4)`

`=> 3 u cdot v = - 18 + 24`

`=> 3 u cdot v = 6`