Thread: finding a magnitude in a non-orthonormal coordinate system

1. finding a magnitude in a non-orthonormal coordinate system

Hi everyone, Attached is a diagram showing the problem and my work. I'm trying to find the magnitude of my vector in order to be able to get it in a x-y coordinate form. So far I haven't had any luck, with some magnitudes coming out to be negative! I don't know what I'm doing wrong, but obviously it's something big.

Known, but arbitrary: $\theta _1, \theta _2, v_x, v_y$. I need $magnitude(V) (or) v_E$, and $v_N$