Question

Let u = <-6, -2>, v = <-2, 3>. Find -3u + 2v.

Answer 1

So this basically means we need to do this
-3(-6i,-2j) + 2(-2i,3j)
We distribute the -3 and the 2 into each part of the vector. Then once we are done, we combine like terms, combining the i terms and combining the j terms.
So could you distribute in the -3 and the 2?

Answer 2

so (18i,6j) + (-4i, 6j)

Answer 3

Right, perfect. Now we need to combine like terms since it's asking to add them. We combine i's and we combine j's like so:
18i + -4i
6j + 6j
Once you finish with that you have your answer :3

Answer 4

16,12 then?

Answer 5

14*

Answer 6

14,12*

Answer 7

Right xD Just make sure to leave it in vector form (14i,12j)

Answer 8

alright :D thanks a lot :D

Answer 9

Yep, no problem ^_^