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If |(b +c,c +a,a +b),(a +b,b +c,c +a),(c...

If `|(b +c,c +a,a +b),(a +b,b +c,c +a),(c +a,a +b,b +c)| = k |(a,b,c),(c,a,b),(b,c,a)|`, then the value of k, is

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