Question

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

Answer 1

multiply <3,-1> by 9

Answer 2

same goes with 2v

Answer 3

to multiply a vector such as \(u = <3,-1>\) by a scalar, multiply the scalar times each component. For example\[3<1,2> = <3*1,3*2> = <3,6>\]

Answer 4

so for <-6,-6>, it'll be <-6,-12>

Answer 5

Hmm you only multiplied the second component by 2.
What about the first silly? :o

Answer 6

i thought you multiply it by 1 so it'll be still -6

Answer 7

In palmer's example he STARTED with the 1.
He multiplied each component by the `same value`, 3.

In your problem, you want to multiply each component by the `same value`, 2.

Answer 8

oh i see, silly me...

Answer 9

so for both points it'll be <27,-9> and <-12,-12>?

Answer 10

Ah very good! :)
Then addition yes?

Answer 11

so then 27+(-12)=15 and -9+(-12)=-21 which overall it'll be <15,-21>

Answer 12

yay good job.

Answer 13

thank you so much!