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13y ago
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2mo ago

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.

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Q: Can a vector have a component greater than the vector's magnitude?
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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 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 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 the magnitude of the difference between two vectors ever be greater than the magnitude of either vector?

Yes, the magnitude of the difference between two vectors can be greater than the magnitude of either vector. This can occur when the vectors are in opposite directions or have different magnitudes such that the resulting difference vector is longer than either of the original vectors.


Is the sum of two vectors of equal magnitude equal to the magnitude of either vectors AND their difference root 3 times the magnitude of each vector?

No, the statement is incorrect. The sum of two vectors of equal magnitude will not equal the magnitude of either vector. The sum of two vectors of equal magnitude will result in a new vector that is larger than the original vectors due to vector addition. The magnitude of the difference between the two vectors will be smaller than the magnitude of either vector.

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 vector have a component greater than vectors magnitude?

No.


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 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 the magnitude of the difference between two vectors ever be greater than the magnitude of either vector?

Yes, the magnitude of the difference between two vectors can be greater than the magnitude of either vector. This can occur when the vectors are in opposite directions or have different magnitudes such that the resulting difference vector is longer than either of the original vectors.


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

No.


Can a vector have a component greater than the magnitude?

No.


Can a vector have a component greater than it magnitude?

No.


Can the magnitude of a resultant vector be greater than the sum of individual vectors?

The resultant vector IS the sum of the individual vectors. Its magnitudecan be the sum of their individual magnitudes or less, but not greater.


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


Formula to calculate magnitude of the resultant vector?

To calculate the magnitude of the resultant vector, you can use the Pythagorean theorem. Square the x-component of the vector, square the y-component of the vector, and sum them together. Finally, take the square root of the resulting sum. The formula is: |R| = sqrt((Rx^2) + (Ry^2)).