?Orthogonal Surfaces Two surfaces are called orthogonal at a point of intersection if

Chapter 12, Problem 74

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Orthogonal Surfaces Two surfaces are called orthogonal at a point of intersection if their normal lines are perpendicular at that point.

Use Exercise 73 to show that the surfaces z2 = x2 + y2 and x2 + y2 + z2 = r2 are orthogonal at every point of intersection. Can you see why this is true without using calculus?

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