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### What is null vector?

###### Asked in Algebra, Abstract Algebra

### What is the physical significance of null vectors?

Zero vector or null vector is a vector which has zero magnitude
and an arbitrary direction. It is represented by . If a vector is
multiplied by zero, the result is a zero vector.
It is important to note that we cannot take the above result to
be a number, the result has to be a vector and here lies the
importance of the zero or null vector. The physical meaning of can
be understood from the following examples.
The position vector of the origin of the coordinate axes is a
zero vector.
The displacement of a stationary particle from time t to time tl
is zero.
The displacement of a ball thrown up and received back by the
thrower is a zero vector.
The velocity vector of a stationary body is a zero vector.
The acceleration vector of a body in uniform motion is a zero
vector.
When a zero vector is added to another vector , the result is
the vector only.
Similarly, when a zero vector is subtracted from a vector , the
result is the vector .
When a zero vector is multiplied by a non-zero scalar, the
result is a zero vector.

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