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Prove that {:|(a x-b y-cz, a y+b x, c x...

Prove that `{:|(a x-b y-cz, a y+b x, c x+a z) ,(a y+b x, b y-c z-a x, b z+c y) ,(c x+a z, b z+c y ,c z-a x-b y)|:}=(x^2+y^2+z^2)(a^2+b^2+c^2)(a x+b y+c z)dot`

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