Question

Use the vectors u = <2, 2>, v = <-3, 4> and w = <1, -2> to find the indicated quantity? a. 3u ∙ v b. (u ∙ 2v)w

Answer 1

a) 6
b) = <-12,16>

Explanation:

For a and b, it appears you are looking for dot products. Dot products of vectors are given `u=<2,2> v=<-3,4>` we find the product of the horizontal coordinates and the vertical coordinates and sum them together. `2(-3)+2(4)=-6+8=2`. So a) `3u*v=<6,6>*<-3,4>= 6(-3)+6(4)=-18+24=6`.
b) is `u*2v= <2,2>*<-6,8>= 2(-6)+2(8)=-12+16=4**w`. 4**w=4<-3,4> = <-12,16>#