If you have a vector with an initial point (x1, y1) and terminal point (x2, y2), then the vector would be defined as

v = <x2-x1, y2-y1>

Given a vector with magnitude |v| and direction angle θ, then the components of the vector are given as2. Find the horizontal and vertical components of each vector. Write an equivalent vector in the form "v = a1i + a2i"

Magnitude = 4, Direction angle = 15PI/8

<|v|cos θ, |v|sin θ>