A Fixed Frame is attached rigidly to the mechanical ground. The frame of the component, which is shown in the diagram below as , may be rotated and offset with respect to the ground frame, which is represented by in the diagram. The translation of the end frame, relative to the ground frame, , is represented by the vector, r , resolved into its three components in the frame. The rotation of , relative to , can be represented by three Euler angles, which represent three subsequent rotations from the ground frame to the component frame, or by the rotation matrix ( ).