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The same sort of reasoning that zero is a number. It ensures that the set of all vectors is closed under addition and that, in turn, allows the generalization of many operations on vectors.
Also, the way we got around the concept of having something with zero magnitude also have a direction is pretty cool. We made it up! In abstract algebra it's perfectly OK to constrain a specific algebraic structure with rules (called axioms) that the structure must follow.
In your example, the algebraic structure that vectors are in is called a "vector space." One of the axioms that define a vector space is:
"An element, 0, called the null vector, exists in a vector space, v, such that v + 0 = vfor all of the vectors in the vector space."
Ta Da!! Aren't we clever?
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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 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.
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...
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
What are the Examples of null vector?
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>
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.
What are balenced forces?
Forces acting on a point such that it gives a null vector by vector addition law, then such type of forces are called balanced forces.
