I have a set of phasors (complex numbers) x, y & z.
using a 3d vector of these, q = [x, y, z]
then real(q.e^(i*theta)) traces an ellipse in 3d space as theta is swept over the range 0->2pi
is there a way to derive the equation of this ellipse in some nicer or more general ellipse representation
u = 3d vector representing the semi-major axis
v = 3d vector representing the semi-minor axis