Get solution: Calculate this line integral by Stokes's theorem, clockwise as seen by a

Chapter 10, Problem 10.1.186

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Calculate this line integral by Stokes's theorem, clockwise as seen by a person standing at the origin, for the following \(\mathbf{F}\) and \(\mathbf{C}\). Assume the Cartesian coordinates to be righthanded. (Show the details.)

\(\left.\mathbf{F}=\left[\begin{array}{lll}\cos \pi\end{array}\right], \quad \sin \pi x, \quad 0\right]\), around the rectangle with vertices (0, 1, 0), (0, 0, 1), (1, 0, 1), (1, 1, 0)

Text Transcription:

F

C

F = [cos pi],     sin pi x,     0]

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