wow, thanks for this detailed answer. my head might just explode and it will take me days just to digest your response but that's how I feed my curiosity. also about the cross product, I had noticed once before that it only works in 3D but this seems like an interesting rabbit hole.
wah_bsdk OP t1_iugoyu8 wrote
Reply to comment by Chromotron in ELI5: Why do we have real numbers with one term, complex numbers with two terms, quaternions with four terms, octonions and so on, and nothing in between? by wah_bsdk
wow, thanks for this detailed answer. my head might just explode and it will take me days just to digest your response but that's how I feed my curiosity. also about the cross product, I had noticed once before that it only works in 3D but this seems like an interesting rabbit hole.