Geometric Algebra in 3D - The Vector-Bivector Product (Part 2)
Автор: Mathoma
Загружено: 2017-01-13
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Описание:
In this second part, we'll investigate the algebraic properties and geometric meaning of this extended dot and wedge product. We'll see that vectors in the plane of a bivector anticommute with the bivector under the geometric product and vectors orthogonal to the plane of a bivector will commute with that bivector. This will allow us to say in general what it means to dot a vector with a bivector and what it means to wedge a vector with a bivector.
References / Further Reading:
1. Lasenby and Doran's "Geometric Algebra for Physicists".
2. Recommended video on Clifford algebra:
• Clifford Algebra
3. And other video series covering Geometric Algebra (Nick Okamoto): • From Vectors to Multivectors (Part 1 of 3)
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