Question

why don't two magnetic field lines can intersect with each other​

Answer 1

THE two magnetic field lines can never intersect each other because two tangents can be drawn from that point of intersection which will give two directions of the field from the same point,which is impossible.So, the two magnetic field lines can never intersect each other.

Answer 2

Magnetic field lines can never.eet because tangents can be drawn from the point of intersection....