Abstract
The geometric algebra of a 3D Euclidean space \(G_{3,0,0}\) has a point basis and the motor algebra \(G_{3,0,1}\) a line basis. In the latter geometric algebra, the lines expressed in terms of Plücker coordinates can be used to represent points and planes as well.
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Bayro-Corrochano, E. (2020). Conformal Geometric Algebra. In: Geometric Algebra Applications Vol. II. Springer, Cham. https://doi.org/10.1007/978-3-030-34978-3_6
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