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

Jafari M., YAYLI Y.

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, cilt.6, sa.2, ss.224-232, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.224-232
  • Anahtar Kelimeler: generalized quaternion, quasi-orthogonal matrix, rotation
  • Ankara Üniversitesi Adresli: Evet

Özet

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.