why no two electric lines of force can intersect each other?
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Electric lines of force never intersect each other because at the point of intersection, two tangents can be drawn to the two lines of force. This means two direction of electric field at the point of intersection, which is not possible.
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The tangent to the lines of force at any point gives the direction of the electric field at that point. If the lines of force intersect each other, there will be two tangents at the point on intersection, showing two different directions of the electric field at the point. It is not possible that a electric field will have two directions, at a time. So, the lines of force never intersect.
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