Angles between subspaces computed in Clifford Algebra
Metric Geometry
2013-06-11 v1 Rings and Algebras
Abstract
We first review the definition of the angle between subspaces and how it is computed using matrix algebra. Then we introduce the Grassmann and Clifford algebra description of subspaces. The geometric product of two subspaces yields the full relative angular information in an explicit manner. We explain and interpret the result of the geometric product of subspaces gaining thus full practical access to the relative orientation information.
Keywords
Cite
@article{arxiv.1306.1825,
title = {Angles between subspaces computed in Clifford Algebra},
author = {Eckhard Hitzer},
journal= {arXiv preprint arXiv:1306.1825},
year = {2013}
}
Comments
4 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1306.1629