How to Multiply Multivectors (Geometrically) - From Zero to Geo 3.3
Автор: sudgylacmoe
Загружено: 2025-10-22
Просмотров: 5335
Описание:
In the last video, we looked at how to multiply multivectors algebraically. But what does this product look like geometrically? That's the question we answer in this video. We also see how the geometric product allows us to develop a more formal definition of blades.
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
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Sections:
00:00 Introduction
00:29 Vector Overview
02:01 Basic Idea
03:02 2D Vector * Bivector
05:53 3D Vector * Bivector
07:11 2D Bivector * Bivector
07:48 3D Bivector * Bivector
08:54 4D Bivector * Bivector
09:46 General Multiplication
10:44 Blades
12:21 Revisiting e12 + e34
13:19 Conclusion
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