@sudgylacmoe
  @sudgylacmoe
sudgylacmoe | The geometric product is not the sum of the inner and outer products! @sudgylacmoe | Uploaded July 2023 | Updated October 2024, 8 hours ago.
In this short, I correct a common misunderstanding in geometric algebra: the geometric product is the sum of the inner and outer products. I feel like I'm partially to blame for this based on things I've said in the past, so to atone I'm making this short.

In case you don't know what geometric algebra is, you can watch this video of mine: youtube.com/watch?v=60z_hpEAtD8. If you do know geometric algebra but are wondering how the inner and outer products between bivectors are calculated, watch this video: youtube.com/watch?v=2AKt6adG_OI

Discord: discord.gg/3Zj59zA2Rg

Patreon: patreon.com/sudgylacmoe

Patreon Supporters:
Christoph Kovacs
David Johnston
Jason Killian
LoganMP
Richard Penner
Rosario
The geometric product is not the sum of the inner and outer products!Geometric Algebra and TensorsDecomposing a 3D PGA RotorWhat Is a Reflection?Vectors Are Not Lists of Numbers (Part 2) - From Zero to Geo 1.9Hyperplane Reflections in Geometric AlgebraWhy Multiplying by i Causes RotationWhen Isomorphism Is Not EqualityWhat is (a) Space? From Zero to Geo 1.5Solving Systems of Linear Equations in PGAVectors Are Not Lists of Numbers (Part 1) - From Zero to Geo 1.8Connecting GA Rotation Formulas

The geometric product is not the sum of the inner and outer products! @sudgylacmoe

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