Question

let U=<-1,-3> and V=<5,5> . Find -3u+5v

Answer 1

Scalar multiplication of a vector goes like this:\[C(a,b)=(Ca,Cb)\] and addition of vectors goes like this:\[(a,b)+(c,d)=(a+c,b+d)\]What's your best guess at the value of \(-3 \vec u + 5\vec v\)?

Answer 2

(22, 34)

Answer 3

-3(-1,-3)+5(5,5)= (3,9)+(25,25)=3+25,9+25)=(28,34)

Answer 4

So, the answer is (28,34)

Answer 5

Correct! Well done!