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Vanishing vector rotation in quadric geometric algebra. (English) Zbl 1497.15026

Summary: In the paper [J. Zamora-Esquivel, Adv. Appl. Clifford Algebr. 24, No. 2, 493–514 (2014; Zbl 1298.15033)] a generalization of CGA was introduced. Now \(G_{6, 3}\) is called Quadric Geometric Algebra (QGA), and in which the use of axis aligned quadrics and their intersections were presented. In this paper the rotation of \(G_{6, 3}\) geometric entities is described, introducing new concepts like vanishing vectors, also the polar representation of quadric geometric entities is being used.

MSC:

15A66 Clifford algebras, spinors
15A67 Applications of Clifford algebras to physics, etc.

Citations:

Zbl 1298.15033
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References:

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