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sudgylacmoe | Line Reflections in Geometric Algebra @sudgylacmoe | Uploaded June 2024 | Updated October 2024, 4 hours ago.
From the 2D rotation formula in VGA, we can derive the fundamental GA reflection formula. It reflects one vector across another, creating a line reflection. Because this formula only involves two vectors, it applies in any number of dimensions, even though the derivation was limited to two dimensions!

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Line Reflections in Geometric AlgebraAn Overview of the Operations in Geometric AlgebraThe Inner Product and LengthFrom Zero to Geo Introduction (Geometric Algebra Series)Deriving Every Trig Identity in a MinuteGeometric Algebra and GradingRejectionsThe Symmetric/Antisymmetric Parts of the Geometric ProductThe Cartan-Dieudonné TheoremCross Product Correspondences in Geometric AlgebraA Swift Introduction to Geometric AlgebraAn Interesting Construction of Polynomials (Part 3)

Line Reflections in Geometric Algebra @sudgylacmoe

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