Question

Why do electric lines of force never cross?

Answer 1

Because there can not be two direction at a single point where the intersect i.e. they can't have two tangent at same point in different directions.

Answer 2

Answer:

The electric lines of force never cross each other or intersect at a common point because if they did, it would mean two different directions of the electric field at the point of intersection, which is impossible.

Explanation:

An electric line of force is that imaginary smooth curve drawn in an electric field along which a free, isolated positive charge moves. The tangent drawn at any point on the electric line of force gives the direction of the force acting on a positive charge placed at that point.