Vectors of i and j

Question

The initial and terminal points of a vector are given. Write the vector as a linear combination of the standard unit vectors i and j.

Initial Point	Terminal Point
(0, −2)	(7,2)	=

Answer 1

Let's call the vector v. Then v = <7-0, 2-(-2)> = <7, 4>.= 7<1, 0> + 4<0, 1> = 7i + 4j