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Let veca, vecb, vecc be three non-zero n...

Let `veca, vecb, vecc` be three non-zero non coplanar vectors and `vecp, vecq` and `vecr` be three vectors given by `vecp=veca+vecb-2vecc, vecq=3veca-2vecb+vecc` and `vecr=veca-4vcb+2vecc`
If the volume of the parallelopiped determined by `veca, vecb` and `vecc` is `V_(1)` and that of the parallelopiped determined by `veca, vecq` and `vecr` is `V_(2)`, then `V_(2):V_(1)=`

A

`3:1`

B

`7:1`

C

`11:1`

D

`15:1`

Text Solution

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The correct Answer is:
D
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