Question

Find vector c if c=a+b (view image)
A. 7,6
B. -7,2
C. 0,-5
D. -5, 0

Answer 1

`\vec c=<-7,2>`

Option B

Explanation:

Sum of vectors in
`\mathbb{R}^2`

Given two vectors
`\vec a=<x,y>` and
`\vec b=<w,z>`. The sum of both vectors is:

`\vec a+\vec b =<x+w,y+z>`

The vectors in the figure are

`\vec a=<-3,4>`

`\vec b=<-4,-2>`

The sum is

`\vec c=\vec a+\vec b =<-3-4,4-2>`

`\vec c=<-7,2>`

Option B