Let F = y2, 2z + x, 2y2 . Use Stokes Theorem to find a plane with equation ax + by + cz

Chapter 17, Problem 23

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Let F = y2, 2z + x, 2y2 . Use Stokes Theorem to find a plane with equation ax + by + cz = 0 (where a,b,c are not all zero) such that C F dr = 0 for every closed C lying in the plane. Hint: Choose a,b,c so that curl(F) lies in the plane.

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