a vector with nothing in it
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no,zero cannot be added to a null vector because zero is scalar but null vector is a vector,although null vector has zero magnitude but it has direction due to which it is called a vector.
A null vector has no magnitude, a negative vector does have a magnitude but it is in the direction opposite to that of the reference vector.
Yes, you can add anything to null vector.
The sum of two null vectors is a null vector. And since a direction is not relevant for a null vector, the resultant has no direction either.
Yes, any number can be added to a null vector.