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Let A(2, 3, 5) and C(-3, 4, -2) be oppos...

Let A(2, 3, 5) and C(-3, 4, -2) be opposite vertices of parallelogram ABCD. If the diagonal `vec (BD) = hat i + 2 hat j + 3 hat k`, then area of parallelogram is equal to

A

`(1)/(2)sqrt(410)`

B

`(1)/(306)`

C

`(1)/(2)sqrt(586)`

D

`(1)/(2)sqrt(474)`

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