A tangent drawn at any point on the magnetic field line shows the direction of the magnetic field at that point. When two magnetic fields intersect with each other, 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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SANTOSH KUMAR
June 21, 2018A tangent drawn at any point on the magnetic field line shows the direction of the magnetic field at that point. When two magnetic fields intersect with each other, 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.