[tex]\vec u[/tex] starts at (1, 1) and ends at (-4, 3), so it's pointing in the same direction as the vector
[tex](-4, 3)-(1,1)=(-5,2)[/tex]
This vector terminates in the second quadrant, so its direction is
[tex]\pi+\tan^{-1}\left(-\dfrac25\right)\,\mathrm{rad}\approx158.2^\circ=(180-158.2)^\circ\,\text{N of W}=21.8^\circ\text{N of W}[/tex]
