# Direction of angular parameters and centripetal acceleration

If the axis of rotation is not passing through the centre of mass but some other point of a rigid body then how do we define the direction of angular parameters that is angular velocity, angular acceleration and angular displacement.

For example :

This is a sphere with a void in between rolling on a flat surface.C is the centre of mass and O is the axis of rotation.

So basically my question is, will the angular velocity of the point A be perpendicular to OA or CA? Also will the angular acceleration of A be parallel or antiparallel to the angular velocity and correspondingly the centripetal acceleration would be perpendicular to the angular velocity right? I am confused about this.

Imagine a line between $$C$$ and $$O$$ and relative to $$O, \, C$$ rotates by an angle $$\theta$$ clockwise ie the body has moved to the right.
Now consider that line from the point of view of position $$C$$.
$$O$$ has rotated by an angle $$\theta$$ clockwise whilst the body has moved to the right.
If there is no slipping then every point on the body is has a horizontal component of translational velocity $$v = R\,\omega$$ to the right as well as a component of translational velocity due to rotation about position $$O$$ which for position $$C$$ would be $$\frac R2\,\omega$$ vertically upwards.