Question

Why why don't two magnetic lines of forces intersect each other?

Answer 1

Answer:

if they do there exits two direction of electric field which is impossible.

Answer 2

$\bf\huge\underline\purple{Question}$

Why don't two magnetic lines of forces intersect each other?

$\bf\huge\underline\pink{Answer}$

The direction of magnetic field is taken as the direction in which the north pole of a compass needle moves inside it. If two field lines cross each other, it would mean that a compass needle points towards two directions at the point of intersection, which is not possible.