There's also a cross-product in 7 dimensions, but just those two: https://en.m.wikipedia.org/wiki/Seven-dimensional_cross_product https://en.m.wikipedia.org/wik

There's also a cross-product in 7 dimensions, but just those two: https://en.m.wikipedia.org/wiki/Seven-dimensional_cross_product https://en.m.wikipedia.org/wiki/Seven-dimensional_cross_prod... I wish we would stop teaching/using the cross-product. Bivectors make a ton more sense, and as a bonus do away with the right hand rule.