Question

The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.

Answer 1

The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 30, bearing 215°
v: magnitude 30, bearing 110°
w: 3u - v

Answer 2

For addition/subtraction, yes, you would have to convert to rectangular coordinates. The magnitude of \(3u\) will be 3 times the current magnitude; so, \(3u:\) mag. 90, bearing 215°.

Convert to rectangular, then add, then convert back to polar.