The strength of an electric field at any point is represented by lines of force. … If two lines intersect at the same location, there must be two distinct electric fields with different directions at each location. They could not cross each other as this could not be true.
In the above figure, we can see that at any point along the electric lines of power, there could not be two directions. This would mean that the vector points in two different directions (or that the same electric field is creating its effect in two directions), which is virtually impossible.
The electric lines of force won’t cross each other, thus the line of power will not be crossed.