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Why can't you multiply vectors?

Freya Holmér

Why can't you multiply vectors?

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.

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

11 Hacker News mentions · 2023–2025

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