Abstract
In this paper, we introduce a new vector space, the three-dimensional geometric real vector space [Formula: see text], and a new number system, multiplicative quaternions [Formula: see text]. We give some basic algebraic properties of these concepts. We define spatial rotation in [Formula: see text] by using multiplicative quaternions. Finally, we give an example to illustrate our results.
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More From: International Journal of Geometric Methods in Modern Physics
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