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If a+b+c =0 and a^(2)+b^(2)+c^(2)-ab-bc ...

If `a+b+c =0 and a^(2)+b^(2)+c^(2)-ab-bc -ca ne 0, AA a, b, c in R` then the system of equations
`ax+by+cz=0, bx +cy+az=0` and `cx+ay+bz=0` has

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