Question

Given the vectors w=<-5,3> and z=<1,4>, find the results of the vector subtractions

-w-z=
z-w=
w-z=

Answer 1

To subtract vectors, we subtract corresponding components.

Explanation:

-w = <-(-5), -3> = <5, -3>

-w-z = <5, -3> - <1, 4> = <5-1, -3-4> = <4, -7>

z-w = <1, 4> - <(-5), -3> = <1+5, 4+3> = <6, 7>

w-z = <-5, 3> - <1, 4> = <-5-1, 3-4> = <-6, -1>