Interesting . . . "Zero" always raises strange questions.
There is always a difference between a point and a vector.Is a point on a plane considered a zero vector,
or is there a difference between a single point and a zero vector?
The point might be and the zero vector is: .
If you referring to the pole (origin), the polar coordinates are: .Can there be a polar representation of a single point?
If so, would it be ?
. . where the 'magnitude' is 0 and can be any angle.
Other points have coordinates such as: .