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A zero vector is a vector whose value in every dimension is zero.
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Will a vector be zero if anyone of its component is zero?
If any component of a vector is not zero, then the vector is not 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 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.
Is vector A parallel vector B given that vector A is equal to the zero vector and vector B is equal to the zero vector?
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
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 be zero if one of its component is not zero?
No, for a vector to be zero, all of its components must be zero. If only one component is not zero, then the vector itself cannot be zero.
What is the magnitude of a zero vector?
The magnitude of the zero vector is zero, hence the name.
Is it possible for a vector to be zero if its one of the components is zero?
NO, a vector will not be zero if one of its components will be zero.
What is a zero vector?
A zero vector is a vector whose value in every dimension is zero.
Can a vector have zero magnitude if one of its component is not zero?
No, a vector cannot have zero magnitude if one of its components is not zero. The magnitude of a vector is determined by the combination of all its components, so if any component is not zero, the vector will have a non-zero magnitude.
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.
