How can I get the camera space position on the near plane from the object space posit

As titled, I have an item with a specific position in object space defined by a single vector.

I would like to retrieve the coordinates in camera space of the projection of this vector on the near clipping plane.

In other words, I need the intersection in camera space between this vector and the plane defined by the z coordinate equals to -1 (my near plane).

I needed it for moving object linearly with the mouse in perspective projection