Question

why electric field line not cut each other​

Answer 1

if two lines intersect at any point then two tangents can be drawn at one point indicates two directions of electric field, which is not possible because at any point there is only one direction of field. That is why they never cross each other.

Answer 2

This is because if two lines intersect at a point then compass needle will show two directions at the same point ...which is not possible.