TITLE:
Indefinite Cross Divisions of Vectors in Natural Space
AUTHORS:
Jixing Wang, Lan Cheng
KEYWORDS:
Cross Product, Indefinite Cross Division, Indefinite Cross Quotient, Left Indefinite Cross Division, Vector Quotient
JOURNAL NAME:
Open Access Library Journal,
Vol.9 No.11,
November
30,
2022
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.