In which dimension, is it possible to construct plane and line, which are not parallel, but don't have any common point either (analogy of skew lines for line and plan)?

I suspect it is 4D but i can't prove it. The only approach I could come with, was proving it is not possible in 3D and finding example for 4D.

However veryfing example requires, i believe, finding normal vector of the plane (and direction vector of the line, i figured this one out) which i was not able to do in 4D.

In book of exercises it is not considered difficult one, so i suspect it has easier solution too.