Question

find 3v-w given v(2,-3) and w(5,-2)

Answer 1

v and w look like vectors

Answer 2

so if v = (2,-3), then 3v = (6, -9)

notice I just multiplied everything by 3

Answer 3

do you know how to take it from here?

Answer 4

no i dont

Answer 5

from here, you subtract the two vectors

Answer 6

to subtract the two vectors v = (a,b) and w = (c,d), you just follow this rule

v - w = (a,b) - (c,d)

v - w = (a- c, b - d)

Answer 7

make sense?

Answer 8

yes im getting(-3,1)?

Answer 9

but remember, you're not just subtracting v - w

you're really doing 3v - w

Answer 10

so you're really doing (6, -9) - (5,-2)

Answer 11

I wrote out v-w as a general template more or less