Question

Vector u has its initial point at (17, 5) and its terminal point at (9, -12). Vector v has its initial point at (12, 4) and its terminal point at (3, -2). Find ||3u − 2v||. Round your answer to the nearest hundredth

Answer 1

@kayders1997

Answer 2

I don't think I've done anything like this before :( sorry

Answer 3

its fine

Answer 4

@Directrix

Answer 5

He might be able to help :)

Answer 6

I'd figure out the coordinates for the vector if we have the terminal points at the origin, (0,0), instead. Then we can just do the normal vector stuff; calculate 3u - 2v, and find its length

Answer 7

how do i do that?

Answer 8

So, it seems like our vector is heading to the left. It looks like the x changes from 17 to 9, so that x-component would be (9 - 17), wouldn't it? Just how much x changes
Because it's really about displacement here