How to Multiply Multivectors (Algebraically) - From Zero to Geo 3.2
Автор: sudgylacmoe
Загружено: 2025-09-19
Просмотров: 4228
Описание:
In the last video, we looked at how to multiply two vectors. But how do we multiply two multivectors? That's the question we answer in this video. Or at least partially. You can answer this question in an algebraic way or a geometric way, and this video focuses on the algebraic way.
This video is a part of "From Zero to Geo", a series where we formulate geometric algebra, an incredibly powerful branch of mathematics, from the ground up. Full playlist here: • From Zero to Geo
Next video here: • How to Multiply Multivectors (Geometricall...
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Sections:
00:00 Introduction
00:30 Summary of the Product of Vectors
02:16 How to Multiply Multivectors
02:40 Simple Examples
04:14 i^2
04:43 Associativity
05:35 Products of Distinct Basis Vectors
06:07 More Complicated Example
07:05 Exercise
07:27 "Algebra"
09:41 Conclusion
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