GENERALIZED QUATERNIONS AND ROTATION IN 3-SPACE E-alpha beta(3)

Jafari M., YAYLI Y.

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.6, no.2, pp.224-232, 2015 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 2
  • Publication Date: 2015
  • Journal Name: TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.224-232
  • Keywords: generalized quaternion, quasi-orthogonal matrix, rotation
  • Ankara University Affiliated: Yes

Abstract

The paper explains how a unit generalized quaternion is used to represent a rotation of a vector in 3-dimensional E-alpha beta(3) space. We review of some algebraic properties of generalized quaternions and operations between them and then show their relation with the rotation matrix.