1.

If `A xx(BxxC)=Bxx(CxxA)` and [ABC] = 0, then `A xx(BxxC)` is equal to

Answer» Correct Answer - A
`because Axx(BxxC)=Bxx(CxxA)`
`rArr (A.C)B-(A.B)C=(B.A)C-B.C)A`
`rArr (B.C)A+(A.C)B-(A.B+B.A)C=0`
`therefore B.C=0,A.C=0,A.B=0`
`rArr B bot C,A bot C,A bot B `
`Axx(BxxC)=(A.C)B-(A.B)C=(0)B-(0)C=0`


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