Question

why two magnetic lines of force cannot intersect each other
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Answer 1

Answer:

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.

Answer 2

Answer:

If two magnetic field lines are intersecting, the point of intersection will show two directions, which is not possible

So, The magnetic field lines do not interesect each other