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

1 Answer
Mr. Lacine
Feb 16, 2018

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>#

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