Question

Problem 2: Vector v has initial point (4, 3) and terminal point (-7, 9). Write v as a linear combination of the standard unit vectors i and j.

Answer 1

We have

v = (-7, 9) - (4, 3) = (-7 - 4, 9 - 3) = (-11, 6)

which as a linear combination of the i and j unit vectors is

v = -11i + 6j