Suppose F=F(x,y,z) is a gradient field with [itex]F=\nabla f[/itex], S is a level surface of f, and C is a curve on S. What is the value of the line integral [itex]\int_C F dr[/itex]?(adsbygoogle = window.adsbygoogle || []).push({});

I know the answer is 0 but I cannot visualize why it would be zero?

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# What is the value of the line integral

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