I was taking a quiz for my trig class and the following problem came up:
Find the sum of u + v, given that |u| = 16, |v| = 16, and Theta = 106°.
The magnitude of u + v is: 19.3
The resultant vector u + v makes the angle 53.0 with u.
When I tried the problem, I got 22.6 for the magnitude and 45° for the angle.
I thought that r = sqrt(u^2 + v^2), and I could use arctan=(16/16) to find the angle (at least that's what my math teacher had said).
Any help on how they got these solutions?