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Resultant of two vectors of equal magnit...

Resultant of two vectors of equal magnitude is equal to the magnitude of either vector Find the angle between these vectors.

Text Solution

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We are given :
`| vec A | = x, | vec B | = x and | vec R| = x `
We are to calculate ` theta `
Using relation : `R ^(2) = A ^(2) + B ^(2) + 2 A B cos theta `
We have, `x ^(2) = x ^(2) + x ^(2) + 2x ^(2) cos theta or cos theta = - (1)/(2) impliestheta = 120^(@)`
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