Let F = zi + xj + yk. Let S be the triangular region of the the plane x + y + z = 1 in which x, y and z are all non non negative. (a) Calculate the Curl(F) (b) Verify that Stoke's theorem holds for this example; directly calculate the flux of Curl (F)

Let F = zi + xj + yk. Let S be the triangular region of the the plane x + y + z = 1 in which x, y and z are all non non negative. (a) Calculate the Curl(F) (b) Verify that Stoke's theorem holds for this example; directly calculate the flux of Curl (F)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 49E

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Question

Let F
=
zi + xj + yk. Let S be the triangular region of the the plane x + y + z = 1 in which x, y and z are all non
non
negative. (a) Calculate the Curl(F) (b) Verify
that Stoke's theorem holds for this example; directly calculate the flux of Curl (F)

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