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No. The answer does assume that "components" are defined in the usual sense - that is, a decomposition of the vector along a set of orthogonal axes.

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14y ago

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Related Questions

Can the component of a non-zero vector be zero?

Yes, the component of a non-zero vector can be zero. A non-zero vector can have one or more components equal to zero while still having a non-zero magnitude overall. For example, in a two-dimensional space, the vector (0, 5) has a zero component in the x-direction but is still a non-zero vector since its y-component is non-zero.


Can a vector have zero magnitude if one of its component is non zero?

No.


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 anyone of its component is zero?

If any component of a vector is not zero, then the vector is not zero.


Can a vector have zero component along a line and still have non-zero magnitude?

Yes, if it has a non-zero component along some other line - usually, but not necessarily orthogonal.


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.


If one of the rectangular components of a vector is not zero can its magnitude be zero Explain?

No, if one of the rectangular components of a vector is not zero, the magnitude of the vector cannot be zero. The magnitude of a vector is calculated using the Pythagorean theorem, which involves all its components. Therefore, if at least one component has a non-zero value, the overall magnitude will also be non-zero.


Can the magnitude of a vector be equal to one of its components?

Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.


When can a nonzero vector have a zero horizontal component?

When the direction of the vector is vertical. Gravitational force has zero horizontal component.


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.


Can a vector be zero if one of its component is zero?

No never


If one of the rectangular component of a vector is not zero can its magnitude be zero?

No.