Question

Let u = <-5, -9>, v = <6, 8>. Find -8u - 2v.

Answer 1

Just apply the math to the vector. Multiply vector u by -8, multiply vector v by 2. Find the difference.

Answer 2

and to multiply the vector by a scalar (such as -8 or 2), just multiply each component of the vector by the scalar.

For example,

u = <1,4>
3u = 3*<1,4> = <3*1,3*4> = <3,12>

Answer 3

u=<40, 72> ?

Answer 4

Yeah, when you apply the scalar factor to vector u, you will get that. Do the same for vector v.

Answer 5

v=<-12,-16> ?

Answer 6

Err, try again. Your y-component seems to be off.

Answer 7

Woops, -18?

Answer 8

Err where are you getting the negative from for the y component?
2<6, 8> =

Answer 9

oh I thought the 2 was negative.. so it's just 12 and 16?

Answer 10

You can look at it as -2, but we won't deal with that for now. Right, so we simplified the problem to...
<40, 72> - <12, 16> = ??

Answer 11

When adding or subtracting vectors, you only add and subtract within the same component, if you get what I'm saying lol.

Answer 12

<28, 56> ?

Answer 13

Dingdingding, if this was a rack of ribs, it would be filling my tummy. Good job.

Answer 14

haha thank you!!