this smthg abt zero vector and its uses...
A zero vector has no direction, but is orthogonal to all other vectors with the same number of components.
For a general vector space, the zero vector (or null vector) is the uniquely determined vector that is the identity element for vector addition.
The zero vector is unique; if a and b are zero vectors, then a = a + b = b.
The zero vector is a special case of the zero tensor. It is the result of scalar multiplication by the scalar 0.
The preimage of the zero vector under a linear transformation f is called kernel or null space.
A zero space is a linear space whose only element is a zero vector.
The zero vector is, by itself, linearly dependent, and so any set of vectors which includes it is also linearly dependent.
In a normed vector space there is only one vector of norm equal to 0. This is just the zero vector.