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Can the magnitude of the difference between two vectors ever be greater than the magnitude of either vector? Can it be greater than the magnitude of their sum? Give examples

Can the magnitude of the difference between two vectors ever be greater than the magnitude of either vector? Can it be greater than the magnitude of their sum? Give examples

Grade:12th pass

1 Answers

Arun
25750 Points
5 years ago
Yes, any 2 vectors that has an angle between 90° and 270° will have the magnitudeof their difference be greater than their respective magnitude. In contrary, the magnitude of the resultant of the two vectors will be smaller than magnitude of both vectors, and hence also smaller than the magnitude of the difference.

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