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# Can the magnitude of a vector be lesser than its component?

Updated: 12/10/2022

Wiki User

12y ago

No, because the components along any other direction is v*cos(A) where v is the magnitude of the original vector and A is the angle between the direction of the original vector and the direction of the component.

Since the absolute value of cos(A) cannot be greater than 1, then v*cos(A) cannot be greater than v.

Wiki User

12y ago

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Q: Can the magnitude of a vector be lesser than its component?
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