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Let vecr, veca, vecb and vecc be four no...

Let `vecr, veca, vecb and vecc` be four non -zero vectors such that `vecr.veca-0,|vecrxxvecb|=|vecr||vecb|and|vecrxxvecc|=|vecr|vecc|` then [a b c] is equal to

A

`-1`

B

`0`

C

`1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
B
We have
`{:(vecr.veca=0impliesvecr_|_veca),(|vecrxxvecb|=|vecr||vecb|impliesvecr_|_vecb),("and"|vecrxxvecr|=|vecr||vecc|impliesvecr_|_vecc):}}impliesveca, vecb vecc` are coplanar.
Hence `[(veca, vecb, vecc)]=0`
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