Question

Find the direction of vector u shown

Answer 1

C. 21.8 degrees N of W

Explanation:

got it right on edge :)

Answer 2

`\vec u` starts at (1, 1) and ends at (-4, 3), so it's pointing in the same direction as the vector

`(-4, 3)-(1,1)=(-5,2)`

This vector terminates in the second quadrant, so its direction is

`\pi+\tan^(-1)\left(-\frac25\right)\,\mathrm{rad}\approx158.2^\circ=(180-158.2)^\circ\,\text{N of W}=21.8^\circ\text{N of W}`