How to align two objects

Yes, with pleasure.

Part_of_the_point_cloud.e57 (19.2 MB)

I tried that with @pasal and thanks to his help (and patience) I found out about the problem I mentioned before: setting the CPlane in one view does not affect the rest of the views so my beams were mispleaced.

That is impossible. The model must be in the same coordinate system as the cloud. Besides, If I align one wall with the world axis, the other wall will be shifted.