Question

Given the vector →u=⟨−3,6⟩, what is the angle in which the vector points (measured counterclockwise from the positive x-axis, 0≤θ<2π)?

I keep getting this problem marked wrong and I'm pretty sure it has to do with the range of the solution, as it says to express it between 0 and 2pi.
I completely understand the magnitude, and I understand how to find arctan(6/-3)=arctan(-2), but what are they looking for in the answer? It says that 116.5650512 is wrong.

Answer 1

I think the issue is that you are supplying an answer in degrees but the range specified (`0<=theta<=2pi`) implies that the answer should be in radians.

Explanation:

Note: `116.565^circ ~~2.0344 " (radians)"`