Thursday, October 2, 2014

nD Rotation Summary

  This is a good point to collect some of the results. Note that the unit vectors a and b can be thought of as a radial unit vector and its tangent that define a point in the plane and the direction of its rotation. I've added the effects of operating on an arbitrary vector v with matrices in the set {N, P, G}. The vector n is assumed to be normal to the plane. Pv projects v onto x in the plane and Gv projects the same magnitude onto y which is also in the plane and perpendicular to x in the direction of rotation.

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