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The length of the longer diagonal of the...

The length of the longer diagonal of the parallelogram constructed on ` 5veca + 2vecb and veca - 3vecb, ` if it is given that ` |veca|=2sqrt2, |vecb|=3 and veca. Vecb= pi/4` is

A

15

B

`sqrt(113)`

C

`sqrt(593)`

D

`sqrt(369)`

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The correct Answer is:
C
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