ic) if ai, b₁, C₁ (i = 1,2,3) are all real and a₁² + b₁² + ₁² = a₂² + c F ₁₂ + b₁ b₂ + C₁ C₂ = A₂3 + а203 2 2 b₂b3 + C2 C3 a3a₁ + b3b₁ + C3C₁ = 0, prove that a₁² + a₂²+ 2 a3 2 =b₁² + b₂² + b3² = C₁² + c₂² + c3² = 1 and a₁b₁ + a₂b₂ + a3b3b₁c₁ + b₂c₂ + b3c3 = c₁a₁ + c₂a₂ + c3α3 = 0. = b₂² + c₂² = a3²+ b3² + ₁² = 1; c3²

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