First, you have be able to spell "quaternions." :) I think you meant vectors, points, and 3x3 matrixes. 4x4 transformations have the advantages of specifying tr

First, you have be able to spell "quaternions." :) I think you meant vectors, points, and 3x3 matrixes. 4x4 transformations have the advantages of specifying translations and scaling in 3-space where triples and 3x3 cannot.