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If barc=3bara-2barb, then prove that [bara barb barc]0

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Solution :Given `""vecc=3veca-2vecb`
`therefore""[vec a vec B vec c]=veca . (vecb xx vec)`
`=veca . [vecb xx (3 veca xx2vecb)]`
`=veca. (3 vecb xx veca - 2 vecb xx vecb)`
`=veca.(3VECB xx vec a -0)`
`(because vecb xx vec b=0)`
`=3xx0=0"Hence PROVED"`


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