Question

Why do two Magnetic field lines never intersect each other ??

Answer 1

Electric lines, at any point, indicate the direction of the electric field. If electriclines intersect, then at a single point, there would be two electric lines, that is, two directions of electric field. ... And again, there cannot be twodirections of magnetic field at one point.

Answer 2

If two magnetic lines of force intersect with each other than there would have been two directions of magnetic field at the point of intersection, which is not possible.