Suppose that the intersection of two surfaces F(x, y, z) = 0 and G(x, y, z) =

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Suppose that the intersection of two surfaces F(x, y, z) = 0 and G(x, y, z) = 0 is a curve C, and let P be a point on C. Explain why the vector v = ∇F_P × ∇G_P is a direction vector for the tangent line to C at P.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 10:00 AM

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Suppose that the intersection of two surfaces F(x, y, z) = 0 and G(x, y, z) =

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The gradient VFp is orthogonal to all the curves in the level surfac...View the full answer

Calculus

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