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Unless the vector is one dimensional, or only valued along one base in a multidimensional space, in which case the magnitude is equal to it's components, a vector's magnitude has to be greater than its components.

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14y ago
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5mo ago

No, the magnitude of a vector cannot be greater than the sum of its components. The magnitude of a vector is always equal to or less than the sum of the magnitudes of its components. This is known as the triangle inequality.

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Q: Can a magnitude of vector greater than its components?
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Related questions

Vector component greater than the vectors magnitude?

A vector component can never be greater than the vector's magnitude. The magnitude of a vector is the length of the vector and is always greater than or equal to any of its individual components.


Can a component of vector greater than vector magnitude?

No, a component of a vector cannot be greater than the magnitude of the vector itself. The magnitude of a vector is the maximum possible value that can be obtained from its components.


Can a vector has componentsgreater than the vector magnitude?

No, a vector can not have any components greater than itself.


Can a unit vector have any components with magnitude greater than unity?

No, by definiton, a unit vector is a vector with a magnitude equal to unity.


Can a vector have a component greater than the magnitude of vector?

no a vector cannot have a component greater than the magnitude of vector


Can a vector have a component greater than the magnitude of the vector?

No, a vector component is a projection of the vector onto a specific direction. It cannot have a magnitude greater than the magnitude of the vector itself.


Can a vector have a component greater than the vector's magnitude?

No, a vector's component cannot be greater than the vector's magnitude. The magnitude represents the maximum possible magnitude of a component in any direction.


Can a vector have a component greater than its magnitude?

No a vector may not have a component greater than its magnitude. When dealing with highschool phyics problems, the magnitude is usually the sum of two or more components and one component will offset the other, causing the magnitude to be less then its component


Can the component of a vector ever be greater than the magnitude of the vector?

No.


Can a vector have a component greater than it magnitude?

No.


Can a vector have a component greater than the magnitude?

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.