Types of quantum field thories
The analog of velocity? for rotational movement.
\dot \omega \,\, e_1 \wedge e_2 \,,
where and are unit vector spanning the plane of rotation, and where is the magnitude of the angular velocity.
Of (and only then) can we identify bivectors with plain vectors (by the dual operation induced by the Hodge star operator). Often in the literature only this “angular velocity vector” in 3 dimensions is considered.
Standard discussion of angular velocity in is for instance in
Chris Doran, Anthony Lasenby, Geometric Algebra for Physicists Cambridge University Press
Physical applications of geometric algebra (pdf)