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Let Q=x 2 +y 2 +z 2 =1. Suppose that and are two different points on Q. Suppose that the tangents planes to Q at

Let Q=x²+y²+z²=1. Suppose that and are two different points on Q. Suppose that the tangents planes to Q at and are parallel. Prove that a=-x, b=-y, and c=-z.

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