Zero Vector

If we add two vectors  and , we get a vector. Suppose the vectors  and  have equal magnitudes but opposite directions. What is the vector  +  ? The magnitude of the vector will be zero. For mathematical consistency, it is appropriate to have a vector of zero magnitude but it has a little significance in physics. This vector is called Zero vector. The direction of zero vector is indeterminate. We can write this vector as zero with a line over it exactly as a vector is represented.