Geometric Algebra Intro: Multivectors and Rotors
2025-02-27
This article provides a concise introduction to the n-dimensional geometric algebra R(p,q,r). This algebra is constructed from p positive, q negative, and r null vectors, called generators, denoted as eᵢ. The algebra includes real scalars, and every basis n-vector squares to a real number. The product of two vectors, or the exponentiation of a bivector, creates a rotor representing rotations, translations, and more. A generic element of the algebra is called a multivector, a linear combination of scalar, vector, and n-vector parts.
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