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Let a,b,c be real numbers with a^2 + b^2...

Let a,b,c be real numbers with `a^2 + b^2 + c^2 =1`. Show that the equation `|[ax-by-c,bx+ay,cx+a],[bx+ay,-ax+by-c,cy+b],[cx+a,cy+b,-ax-by+c]|=0` represents a straight line.

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