Dual Quaternions in Spatial Kinematics in an Algebraic Sense

This paper presents the finite spatial displacements and spatial screw motions byusing dual quaternions and Hamilton operators. The representations are considered as 4 × 4 matrices and the relative motion for three dual spheres is considered in terms of Hamilton operators for a dual quaternion. The relation between Hamilton operators and the transformation matrix has been given in a different way. By considering operations on screw motions, representation of spatial displacements is also given.