Question

The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 15, bearing 60°
v: magnitude 20, bearing 160°
w: 2u - 3v

A. w: (35, 110°)
B. w: (71.6, 4.5°)
C. w: (4.5, 71.6°)
D. w: (52.0, 260°)

Answer 1

@anas2000 Help?

Answer 2

If you dont feel like typing out the whole explanation, you can just give me the answer.

Answer 3

okay

Answer 4

1. Converting u to 2u gives magnitude 30, angle 60°, which is (30cos60°, 30sin60°) = (15,25.98).
Converting v to -3v gives magnitude -60, angle 160°, which is (56.382, -20.521).
Numbers are rounded with all digits kept in Excel.
This converts back to 71.6, but only 4.37

Answer 5

So you're thinking its B?

Answer 6

I am pretty sure its B

Answer 7

Okay :) Thanks