Question

Let u = <3, -1>, v = <-6, -6>. Find 9u + 2v.

Answer 1

Can you first find \(9\bf \vec u \)?

Answer 2

@ParthKohli would it be 9(3+-6)=-27?

Answer 3

if so 2v =-14?

Answer 4

Erm, well no...

Answer 5

dont add them together, leave it in the form of a vector

Answer 6

\[9{\bf \vec u} = 9 \times \langle 3,-1) = \langle 9\times 3, 9 \times -1\rangle = \langle 27,-9\rangle \]

Answer 7

Can you do it for \(2\bf \vec v\)? We'll add them together afterwards.

Answer 8

2v= 2(-6,-6)= (2x-6, 2 x -6)= (-12,-12)

Answer 9

Nailed it! Now add them.

Answer 10

15,-21

Answer 11

Whoa, that's correct :-D

Answer 12

Thanks for your help

Answer 13

No problem!