Algebras {geometric algebra} can represent real and complex vector-space non-coordinate classical and relativistic geometries. Geometric-algebra elements (vectors) have dimension (grade), scalar amount (magnitude), space orientation/angle (direction), and relative direction {direction sense} (up or down, inside or outside, or positive or negative). Two vectors have a scalar dot product (inner product) {interior product}, bivector cross product (outer product), and inner product plus outer product (geometric product) (multivector). Grassmann and Clifford algebras generalize geometric algebra.
Mathematical Sciences>Geometry>Kinds>Geometric Algebra
3-Geometry-Kinds-Geometric Algebra
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Date Modified: 2022.0224