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.

Question

initial point: (-1,5)

terminal point: (9,-9)

Answer 1

v = < 9 - (-1), -9 - 5 > = < 10, -14 > = 10 <1, 0> - 14 < 0, 1 > = 10 i - 14 j