The geometric product is transform composition.
TRANSFORM COMPOSITION!
(sorry, it's not your fault or even his that you didn't know this - GA textbooks should have it as the first thing they teach but they don't)
The geometric product is transform composition.
TRANSFORM COMPOSITION!
(sorry, it's not your fault or even his that you didn't know this - GA textbooks should have it as the first thing they teach but they don't)
Is that linear composition or affine?
Can do either! If your multivectors represent linear transformations then their products will also be linear transformations. If they're affine transformations then their products will be affine transformations. Euclidean, conformal, etc!