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If vectors vecP, vecQ and vecR have magn...

If vectors `vecP, vecQ and vecR` have magnitudes 5, 12 and 13 units and `vecP + vecQ = vecR`, the angle between `vecQ and vecR` is :

A

`cos^(-1)((5)/(12))`

B

`cos^(-1)((5)/(13))`

C

`cos^(-1)((12)/(13))`

D

`cos^(-1)((2)/(13))`

Text Solution

Verified by Experts

The correct Answer is:
3
`vecP + vecQ = vecR and P^(2) + Q^(2) = R^(2)`

`cos theta = (12)/(13) rArr theta = cos^(-1)((12)/(13))`
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