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Indefinite Cross Divisions of Vectors in Natural Space

DOI: 10.4236/oalib.1109415, PP. 1-17

Subject Areas: Mechanics, Geometry, Classical Mechanics

Keywords: Cross Product, Indefinite Cross Division, Indefinite Cross Quotient, Left Indefinite Cross Division, Vector Quotient

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Abstract

In this paper, in order to solve the problem that cross product has no corresponding division in natural space, indefinite cross divisions are firstly introduced as the inverse operations of cross products, which solve the problem from another angle. Then a lot of basic properties of indefinite cross divisions are obtained, such as the Conversion Formulas between left and right indefinite cross quotients, and linear operation properties, where some are expected and some are special. Especially, the geometric expressions of indefinite cross divisions are presented so that their structures are provided. Finally, some important coordinate formulas and corresponding examples on indefinite cross divisions are presented.

Cite this paper

Wang, J. and Cheng, L. (2022). Indefinite Cross Divisions of Vectors in Natural Space. Open Access Library Journal, 9, e9415. doi: http://dx.doi.org/10.4236/oalib.1109415.

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