Title of article :
GENERALIZED QUATERNIONS AND ROTATION IN 3-SPACE E3 αβ
Author/Authors :
JAFARI, MEHDI University College of Science and Technology Elm o Fan - Department of Mathematics, ايران , YAYLI, YUSUF Ankara University - Faculty of Science - Department of Mathematics, Turkey
Abstract :
The paper explains how a unit generalized quaternion is used to represent a rotation of a vector in 3-dimensional E3 αβ space. We review of some algebraic properties of generalized quaternions and operations between them and then show their relation with the rotation matrix.
Keywords :
generalized quaternion , quasi , orthogonal matrix , rotation
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
