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The null vector, also called the zero vector, is a vector a, such that a+b=b for any vector b.

Also, b+( -b)=a

An example in R3

is the vector <0,0,0>

Here are some examples of its use

<2,2,2>+<-2,-2,-2>=<0,0,0>

<2,2,2>+<0,0,0>=<2,2,2>

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Q: What are the Examples of null vector?
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Related questions

What is null vector?

NULL VECTOR::::null vector is avector of zero magnitude and arbitrary direction the sum of a vector and its negative vector is a null vector...


Can you add zero in null vector?

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.


Can a null vector be added to zero?

No, a vector cannot be added to a scalar. You could multiply a null vector by zero (and you'd get the null vector), but you can't add them.


What is different between negative vector and null 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.


Can you add 0 to null vector?

Yes, you can add anything to null vector.


How do you add two null vectors by following vector laws of addition?

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.


Can you add 0 to a null vector?

Yes, any number can be added to a null vector.


What is meant by null vector?

a vector with nothing in it


Can you add zero in a null vector?

Only if your zero is a null vector. You cannot add pure numbers and vectors.


What is the difference between zero vector and null vector?

They are the same.


Can you add zero to a null vector?

scalar cannot be added to a vector quantity


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.