Mathematicae General Algebra and Applications 21(1) (2001) 67-82
THE VECTOR CROSS PRODUCT FROM AN ALGEBRAIC POINT OF VIEW
Department of Statistics, University of Dortmund
Vogelpothsweg 87, D-44221 Dortmund, Germany
The usual vector cross product of the three-dimensional Euclidian space is considered from an algebraic point of view. It is shown that many proofs, known from analytical geometry, can be distinctly simplified by using the matrix oriented approach. Moreover, by using the concept of generalized matrix inverse, we are able to facilitate the analysis of equations involving vector cross products.
Keywords: vector cross product, generalized inverse, Moore-Penrose inverse, linear equations.
2000 Mathematics Subject Classification: Primary 15A72, Secondary 15A9.
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Received 26 October 1999
Revised 11 February 2000