Geometric 3-space and multiplicative quaternions
Selahattin Aslan, Murat Bekar, Yusuf Yaylı
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.
Topics & Concepts
QuaternionMultiplicative functionMathematicsDual quaternionSpace (punctuation)Algebraic numberRotation (mathematics)Algebra over a fieldPure mathematicsVector spaceComputer scienceGeometryMathematical analysisOperating systemAlgebraic and Geometric AnalysisMatrix Theory and AlgorithmsMathematics and Applications