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arXiv · 1604.07289

Some Identities involving Two Sets of Basis Vectors and the Metric and Mixed Matrices

M. J. Kronenburg
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Abstract

Given two sets of basis vectors in n-dimensional space, there exists a relation between their lengths and mutual angles, expressed as relations between the two metric matrices and the mixed matrix. In this paper these relations are given, and their consequences for 2-dimensional and 3-dimensional space are investigated, using a computer algebra program for simplifying expressions.

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M. J. Kronenburg. 2016-04-25. Some Identities involving Two Sets of Basis Vectors and the Metric and Mixed Matrices. https://arxiv.org/abs/1604.07289

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