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What is the effect of increasing the angel between two vectors to be added on magnitude of their resultant?

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Resultant of addition of two vectors A and B is calculated as the square root of (square of A + square of B + 2AB cosx) where x is the angle between the two vectors.

If the angle between the vectors increases, we need to keep in mind the behaviour of cos for different values of x. The resultant be maximum for x=0 and continue to decrease till x=180 but will again increase to a max value for x=360; the same as for x=0.

Posted on Feb 12, 2009

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