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Grade 12th passMechanics

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

Profile image of Mashooque Ali
7 Years agoGrade 12th pass
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1 Answer

Profile image of Arun
7 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.