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The magnitude of the zero vector is zero, hence the name.
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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.
Can a vector have zero magnitude if one of its components is nonzero?
A vector comprises its components, which are orthogonal. If just one of them has magnitude and direction, then the resultant vector has magnitude and direction. Example:- If A is a vector and Ax is zero and Ay is non-zero then, A=Ax+Ay A=0+Ay A=Ay
Can a vector have zero magnitude if one of its component is non zero?
No.
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 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.
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.
Can a vector have zero magnitude if one of its component is not zero?
No. The magnitude of a vector can't be less than any component.
Will a vector be zero if one of its compoent is zero?
No. In order for the magnitude of a vector to be zero, the magnitude of all of its components will need to be zero.This answer ignores velocity and considers only the various N-axis projections of a vector. This is because direction is moot if magnitude is zero.
Can a vector have zero magnitude if one of its components is nonzero?
A vector comprises its components, which are orthogonal. If just one of them has magnitude and direction, then the resultant vector has magnitude and direction. Example:- If A is a vector and Ax is zero and Ay is non-zero then, A=Ax+Ay A=0+Ay A=Ay
If one of the rectangular component of a vector is not zero can its magnitude be zero?
No.
Can a vector have zero magnitude if one of its component is non zero?
No.
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 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.
Can a vector have zero magnitude?
Yes, and in that case it is a point.
Can a vector have zero magnitudes if one of its component is not zero?
No. The magnitude of a vector can't be less than any component.
When two equal and opposite vectors are added their resultant vector has zero magnitude what is the direction of this resultant?
The zero-vector has no direction.
Can a vector have a component equal to zero and still have a nonzero magnitude?
Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.
