Question

Let u = <5, 6>, v = <-2, -6>. Find -2u + 5v.

Answer 1

The answers are:
<-20, -42>
<-20, 0>
<0, 18>
<-6, 0>

Answer 2

I have completely forgotten how to do this. Any help? @phi

Answer 3

@SolomonZelman

Answer 4

-2u means -2 times each component of u
ditto 5v
then add "corresponding" components

Answer 5

So for u: 5 * -2 * -2?
For v: 5 * 6 * -6?
I don't see any answers that correspond with that? @phi

Answer 6

-2u means -2*<5, 6> = <-2*5, -2*6>= <-10,-12>

Answer 7

Nevermind I see what I did wrong.

Answer 8

It's 5 * -2, -2 * 6 = -10, -12
and 5 *6, 5 * -6 = 30, -30
so it's -20, -42?