If in a Delta ABC, sin ^(3) A + sin ^(3)...

If in a `Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C`
`=3 sin A .Sin B. sin C,` then find the valueof determinant
`|{:(a,b,c),(b,c,a),(c,a,b):}|.`

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