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Earn +20 ptsQ: Can a vector have a component greater than its magnitude?
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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?
No.
Can the magnitude of a vector be lesser than its component?
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.
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 its magnitude in higher level physics?
yeah, it can. for example consider two antiparallel vectors of magnitude 5,3 whose resultant is 2, which is smaller than both components.....
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