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Authors: James A. Smith
As an aid to teachers and students of introductory-level Geometric Algebra, we address a doubt that an inquiring student might (and should) ask: "Are GA’s various formulas for rotating a vector truly equivalent?" Here, we use GA identities to prove the equivalence of two rotation formulas. Rather than merely present the proof, we first review the relevant identities, then formulate and explore reasonable conjectures that lead to the conclusion. Readers are encouraged to examine, in addition, a recent publication by Verhoeff ([1]) that contrasts "GA" rotation methods with methods that use matrices or classical geometry.
Comments: 7 Pages.
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[v1] 2022-06-01 20:16:45
[v2] 2022-06-04 20:53:35
[v3] 2025-04-25 23:50:56
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