Conformal Geometric Algebra

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. The reader can find a comparison of representations of points, lines, and planes using \(G_{3,0,0}\) and \(G_{3,0,1}\) in Chap. 3 .