The space of all operations that correspond to these motions is called SO(3). Phasors can be interpreted as vectors undergoing this motion. Gradients of scalar fields do not do this, as evidenced by the vanishment of the curl operator on those vector
The space of all operations that correspond to these motions is called SO(3). Phasors can be interpreted as vectors undergoing this motion. Gradients of scalar fields do not do this, as evidenced by the vanishment of the curl operator on those vector fields. Any motion of this type can be decomposed into three orthogonal uniaxial motions, perhaps using Euler angles, or by specifying the yaw, pitch, and roll. In spherical coordinates, these motions correspond to those in which the radius coordinate is unchanged. Where this motion exists, angular momentum is nonzero. For 10 points, name this type of motion in which a body moves about an axis but not along it.
The space of all operations that correspond to these motions is called SO(3).