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

Answer:

Concept: Linear Algebra

1. Given two linearly independent vectors w and z
2. We want -w-z
3. Hence apply a negative gradient to w
4. w=-<-5,3> =<5,-3>
5. So <5,-3>-<1,4> = (<5-1>,<-3-4>)
6. The answer is <4,-7>