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The wedge product | Geometric algebra episode 6

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Video / channel Intermediate

All Angles

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Description

Episode 6 of the All Angles Geometric algebra series on the wedge product, preparing for three-dimensional geometric algebra.

It shows how wedging vectors builds higher-grade blades, when a zero wedge signals linear dependence, and associativity, anticommutativity, orientation, and distributivity. Basis blades map to Pascal triangle counts and Clifford algebra dimension 2^n, with blades standing in for lines and planes and membership tests via wedges.

Viewers should know the series 2D material and basic vector spaces. The tone is intermediate math for graphics or physics learners, not a formal textbook.

The free YouTube lecture uses animated visuals; further reading is in the description, and the next episode continues with linear algebra on blades.

It builds intuition for outer products and multivectors before 3D geometric algebra applications.