Question

Why do not to magnetic field line intersect each other at any point

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.

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Answer 2

Magnetic field line never supposed to be intersect because if they do it will do compass would show two directions which is not impossible.