Answer:
[tex]\vec c=<-7,2>[/tex]
Option B
Step-by-step explanation:
Sum of vectors in [tex]\mathbb{R}^2[/tex]
Given two vectors [tex]\vec a=<x,y>[/tex] and [tex]\vec b=<w,z>[/tex]. The sum of both vectors is:
[tex]\vec a+\vec b =<x+w,y+z>[/tex]
The vectors in the figure are
[tex]\vec a=<-3,4>[/tex]
[tex]\vec b=<-4,-2>[/tex]
The sum is
[tex]\vec c=\vec a+\vec b =<-3-4,4-2>[/tex]
[tex]\vec c=<-7,2>[/tex]
Option B
