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If hata, hatb and hatc are three non-ze...

If `hata, hatb and hatc` are three non-zero non-coplanar vectors and `vecp=veca+vecb-2vec c, vecq=3veca-2vecb+vec c and vecr=veca-4vecb+2vec c` are three vectors such that the volumes of the parallelopiped formed by `veca, vecb, vec c and vecp, vecq, vecr` as their conterminous edges are `V_(1) and V_(2)` respectively. Then `(V_(2))/(V_(1))` is equal to :

A

`(1)/(3)`

B

`(3)/(4)`

C

`(1)/(4)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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