Question: Suppose that S is a piecewise-smooth surface that is bounded by a simple, closed, piecewise- smooth boundary curve C. Let F be a vector field

Suppose that S is a piecewise-smooth surface that is bounded by

Suppose that S is a piecewise-smooth surface that is bounded by a simple, closed, piecewise- smooth boundary curve C. Let F be a vector field whose components have continuous second-order partial derivatives on an open region that contains S. Show that curl F . dr = [V(V . F) . as~ |V.F . as, where V' = V. V. [10 marks]

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