5. Let S be the union of the three faces of the tetrahedron lying in the coordinate planes with vertices (0, 0, 0), (a, 0, 0), (0, a, 0), and (0, 0, a), where a > 0 and the normal vectors are oriented outward. Use Stokes' Theorem to evaluate 1/(xx (V x F) ndS, where F = (yz, xy, x).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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5.
Let S be the union of the three faces of the tetrahedron lying in the coordinate planes with vertices
(0,0,0), (a, 0, 0), (0, a, 0), and (0, 0, a), where a > 0 and the normal vectors are oriented outward. Use Stokes'
= (yz, xy, x).
Theorem to evaluate
[f(xx
(V x F) ndS, where F =
Transcribed Image Text:5. Let S be the union of the three faces of the tetrahedron lying in the coordinate planes with vertices (0,0,0), (a, 0, 0), (0, a, 0), and (0, 0, a), where a > 0 and the normal vectors are oriented outward. Use Stokes' = (yz, xy, x). Theorem to evaluate [f(xx (V x F) ndS, where F =
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