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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e7d7a24-c2a8-4852-b667-fc2574f004b7%2F478a154a-07fa-4f7a-be0c-5ca039478ec2%2F3sdi14_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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