Generalized Quaternion and Rotation in 3-space E (3-alfa,beta)
Mathematical Physics
2017-03-10 v4 math.MP
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.
Cite
@article{arxiv.1204.2476,
title = {Generalized Quaternion and Rotation in 3-space E (3-alfa,beta)},
author = {Mehdi Jafari and Yusuf Yayli},
journal= {arXiv preprint arXiv:1204.2476},
year = {2017}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error in some Theorems