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The zero magnitude by itself is no big deal. A greater problem is that no definite direction can be assigned to it. However, like many other mathematical structures, a zero element is required for the theory to be complete.

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Q: How can null vector be a vector if its magnitude is zero?
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Related questions

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.


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...


What is the difference between zero and zero vector in vector algebra?

Zero is a number (a scalar quantity without unit) while zero vector (or null vector) is a vector quantity having zero magnitude and arbitrary direction.


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 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 the magnitude of a zero vector?

The magnitude of the zero vector is zero, hence the name.


Can a vector have a zero magnitude if all of its components are zero?

If all the components of a vector are zero, the magnitude of the vector will always be zero.


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.


Can you add zero in a null vector?

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


If two vector have equal magnitudes can their sum be zero Explain?

Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vector of unequal magnitude cannot be added to give null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.


How can a null vector be a vector if there is no direction?

It has magnitude 0 and a direction and obeys vector laws, so is a vector


What is the difference between zero vector and null vector?

They are the same.