Right, so you're saying you basically zero out any side wind component when calculating AoA?
From my previous calculations:
The wing's chord points along the z-axis = <0,0,1>,
v(rel) = <30, -10, 95.4>
Therefore, AoA is the angle between <0,0,1> and <0, -10, 95.4>. And not between <0,0,1>...