[ajkjk]

My weekly chance to gripe: unfortunately nobody who writes about GA seems to be bothered by the fact that the geometric product is basically meaningless (outside of a couple of specific examples, complex numbers and quaternions).

If they would just write only about the wedge product and omit the geometric product entirely, it would actually be a great book.

[agos]

Those two are pretty big as far as specific examples go, definitely worth writing about

[ajkjk]

There are other models of the two that don't require the geometric product at all. The rest of linear algebra doesn't need it, and recasting all of it in terms of a frankly terrible operation is not helpful for intuition.