Questions

Can a vector have a magnitude equal to zero and have a component with a nonzero magnitude?

Can a vector have a magnitude equal to zero and have a component with a nonzero magnitude?

Yes, a vector can have a component equal to zero and still have a nonzero magnitude.

Can a vector be zero if one of its components is not zero?

No, a vector can be zero if all components are zero.

Is there a vector with zero magnitude?

Zero Vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by 0 . If a vector is multiplied by zero, the result is a zero vector.

Under what circumstances would a vector have components equal in magnitude?

A component may be equal to the vector when magnitude of one of the component is zero.

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Can the magnitude of a vector be smaller than the magnitude of any of its components?

The magnitude of a vector can never be less than the magnitude of any of its components. The magnitude of a vector an only zero if all of its components are zero. The magnitude of vector A must be equal to the magnitude of vector B.

Can we have physical quantities having magnitude and direction which are not vectors?

Yes, there are physical quantities like electric current and pressure which have magnitudes and directions, but are not considered as vectors because they do not follow vector laws of addition.

Can a vector have a nonzero magnitude?

It can have a Y-component of zero and a non-zero x-component, which will equal to a nonzero magnitude. Therefore, a vector can have zero component, but still have a nonzero magnitude.

Can a vector have negative magnitude?

Answer: Magnitude cannot be negative. It is the length of the vector which does not have a direction (positive or negative). The zero vector (vector where all values are 0) has a magnitude of 0, but all other vectors have a positive magnitude.

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Can a vector of magnitude have non zero components?

No, a vector cannot have zero magnitude if one of its components is not zero.

What does a force vector with zero magnitude mean?

When an object is in equilibrium (either at rest or moving with constant velocity), the net force acting on it zero. A vector can only have zero magnitude if all of its components are zero.