Generalized Quaternion and Rotation in 3-space E (3-alfa,beta)
arXiv:1204.2476
Abstract
The paper explains how a unit generalized quaternion is used to represent a rotation of a vector in 3-dimensional space. We review of some algebraic properties of generalized quaternions and operations between them and then show their relation with the rotation matrix.
This paper has been withdrawn by the author due to a crucial sign error in some Theorems