Show that the shortest line segment connecting p to sphere

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Reference no: EM131003546

Consider the sphere (x - a)² + (y - b)² + (z - c)² = d² and a point P = (x₀, y₀, z₀) not lying on the sphere. Use Lagrange multipliers to show that the shortest line segment connecting P to the sphere is that which extends through the center of the sphere.

Reference no: EM131003546

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