Question

Why do two magnetic field lines not intersect each other?​

Answer 1

The magnetic field lines never intersect each other because if two or more lines intersect each other than it means that at that point of intersection, the magnetic field has two directions at the same point. This is not possible for a magnetic field to point in more than one direction at the same point.

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Answer 2

Two magnetic field lines don't intersect each other because if two or more magnetic field lines intersect each other then at that point of intersection, the magnetic field lines have two direction and this is not possible for a magnetic field to point in more than one direction at the same time.