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 = ∇FP × ∇GP is a direction vector for the tangent line to C at P.
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The gradient VFp is orthogonal to all the curves in the level surfac...View the full answer
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