Question

Find the linear combination form of the vector v, where |v|=400 and θ= -60 degrees

Answer 1

200 in the x-direction by -346 in the y-direction

Explanation:

This vector lies in Quadrant IV.

The horiz. component is 400 cos (-60°) = 400(0.5) = 200, and

the vertical comp. is 400 sin (-60°) = 400(-0.866) = -346

The combination form is 200 in the x-direction by -346 in the y-direction, or (as a vector) <200, -346>