Suppose n is a vector normal to the tangent plane of the

Chapter 10, Problem 1E

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QUESTION:

Suppose n is a vector normal to the tangent plane of the surface F(x, y, z) = 0 at a point. How is n related to the gradient of F at that point?

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QUESTION:

Suppose n is a vector normal to the tangent plane of the surface F(x, y, z) = 0 at a point. How is n related to the gradient of F at that point?

ANSWER:

Solution 1E

Step 1:

Given that

Suppose n is a vector normal to the tangent plane of the surface f(x, y, z) = 0 at a point.

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