stylistic:tone, information:extraction, information:classification, information:filtering
Rigid body

The cross product frequently appears in the description of rigid motions. Two points P and Q on a rigid body can be related by:

where r {\displaystyle \mathbf {r} } is the point's position, v {\displaystyle \mathbf {v} } is its velocity and ω {\displaystyle {\boldsymbol {\omega }}} is the body's angular velocity.

Since position r {\displaystyle \mathbf {r} } and velocity v {\displaystyle \mathbf {v} } are true vectors, the angular velocity ω {\displaystyle {\boldsymbol {\omega }}} is a pseudovector or axial vector.