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If abc=p and A=[(a,b,c),(c,a,b),(b,c,a)]...

If `abc=p` and `A=[(a,b,c),(c,a,b),(b,c,a)]`, prove that A is orthogonal if and only if a, b, c are the roots of the equation `x^(3) pm x^(2)-p=0`.

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