为什么向量不能直接相乘

Freya Holmer's Dutch Game Day 2023 talk asking why vectors can't be multiplied, building from complex numbers to a single axiom and arriving at geometric algebra, quaternions and multivectors.

Why HN likes it: HN treats it as the best entry point to geometric algebra and an intuitive route to understanding quaternions.

“The absolute first video to watch should be the (ironically titled) Why can't you multiply vectors?”