Basic Magnus Effect (spin)

I’m trying to achive the magnus effect applied in a ball without simulating air physics.
It doesn’t need to be 100% scientifically accurate, I just want an approximate result.

Shortly, what i need is the vector direction information.

From my research, this vector should be:

**-Perpendicular to the initial direction of the ball **
-Perpendicular to the axis of rotation
-Pointing towards the direction of the ball rotation

I’m having trouble computing this last point in my head.

I made a simple video to explain to my coleague, the vector we need is labeled as “Magnus”.

Example

Thank you!