Question

Q.
Why dont two magnetic lines of force intersect each other??

Answer 1

MAGNETIC LINES OF FORCE DO NOT INTERSECT EACH OTHER BECOZ IF TWO MAGNETIC LINES INTERSECT EACH OTHER THEN THE NEEDLE OF THE COMPASS WOULD NEED TO POINT TOWARDS TWO DIRECTION AT ONE POINT OF TIME WHICH IS NOT POSSIBLE.
HOPE IT HELPS

Answer 2

Because if two lines intersect each other then, the resultant force on a north pole placed at the point of intersection will be along with two directions, which is not possible.