A unit vector is used in the symbolic representation of the electric field. What physical units does the unit vector have? meters. The unit vector has no units. coulombs. The units depend on how it is used.

A unit vector is a vector whose magnitude is always unity that means 1. It gives the direction of that quantity which is represented by this vector.

If the electric field is represented by a unit vector so it has same unit as electric field that means Newton per coulomb.

The unit of unit vector depend on the quantity for which it is used.