Solve F2 Components & Find Magnitudes U & V Axes

[Doc Al]

Interesting. I was not viewing u and v as a non-orthogonal basis, but as simply two unrelated axes/directions. You are probably correct in your interpretation!

 

[I like Serena]

Interesting. I was not viewing u and v as a non-orthogonal basis, but as simply two unrelated axes/directions. You are probably correct in your interpretation!

When seen in the standard orthonormal basis, consider that we have to solve:
$$\binom{150\cos(165^\circ)}{150\sin(165^\circ)} = \mathbf F_2 = F_{2,u} \mathbf{\hat u} + F_{2,v} \mathbf{\hat v}
= F_{2,u} \binom{\cos(15^\circ)}{\sin(15^\circ)} + F_{2,v} \binom{0}{1}$$