There are two types of vectors: true vectors and pseudo vectors. Position, velocity, acceleration, and force are true vectors. However, vectors created by cross products from the true vectors become pseudo vectors since their sign change when the coordinate system is changed from left handed to right handed, vice versa.
An inertial frame observer defines angular velocity vector, HO, using his position vector r(t) at the origin and measuring the momentum mv(t) of a distance point, which is parallel translated to his origin. He then compute the cross product. Therefore, the tail of his HO exists at his origin. If a moving frame observer computes an angular velocity vector HC using his (relative) position vector S(t) and measured momentum mv(t) of a distant point, the tail of the angular momentum HC is placed at his origin.
This figure presents the following vectors:
The mass of the particle is 1.0
To enable a study and observation, the one-step slider is used to freeze motion and restart.