Question

Help with vectors

Answer 1

For the following vectors, find 2u − 3(v − w) : u = <5, -1>, v = <-2, 1>, w = <-1, 0>

Answer 2

2(5,-1)-3(-2,1-(-1),0)

Answer 3

(10,-2)-(-6,-3-3,0)

Answer 4

(13,1)?

Answer 5

2u - 3(v - w) : since a vector has x and y parts, it is the sum of an x and y vector. rewriteing them as ax + by allows us to avoid confusion and work the simple algebra of adding like terms and distribution

u = <5, -1>: 5x -1y
v = <-2, 1>: -2x+1y
w = <-1, 0>: -1x+0y

2u - 3(v - w)

2(5x -1y) - 3((-2x+1y) - (-1x+0y))

10x -2y - 3( -2x+1y +1x)

10x -2y - 3( -1x+1y )

10x -2y +3x-3y

Answer 6

13x is good, dbl chk your y parts

Answer 7

oh -5?

Answer 8

You just taught me a way to organize it better thank you