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The length of the longer diagonal of the...

The length of the longer diagonal of the parallelogram constructed on `5 vec a+2 vec b\ a n d\ vec a-3 vec b\ ` if it is given that `| vec a|=2sqrt(2),\ | vec b|=3` and angle between ` vec a\ a n d\ vec b\ i s` `pi//4` is `15` b. `sqrt(113)` c. `sqrt(593)` d. `sqrt(369)`

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