Points on brep/sphere component in consideration of a vector

Hello altogether,

I have a question about the point on brep component.

I am trying to find the closest points on a brep surface with a list of points , but only along the vector z in this case. So most of the vectors will cross the the brep sooner or later and I actually just need the Z-height or Z-location of this touching point. Some points will not touch the brep at all, so I don't actually need them or need a false for it, but that's part two and the smaller problem.

Could anyone please help me!!!

Any help is much appreciated.