You are given the following: You have the vector field: 1 F(x, y, z) = xyi+yzj+zak . Now given the information, please apply Stokes' Theorem to solve the given line integral: §, F - dř In this case, T is a triangle that is in the plane of x+y+z=1 T also has the vertices of (1,0,0), (0,1,0), and (0,0,1). The orientation of T is given by this ordering of the given vertices!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Need help with a Stokes theorem Problem

I dont know where to start or how to solve this, if I can get help

Thank you very much, greatly appreciated

You are given the following:
You have the vector field: 1 F(x, y, z) = xyi+yzj+zzk .
Now given the information, please apply Stokes' Theorem to solve the
given line integral:
, F • dř
In this case,: T is a triangle that is in the plane of x+y+z=1
T also has the vertices of (1,0,0), (0,1,0), and (0,0,1). The
orientation of T is given by this ordering of the given vertices!
Transcribed Image Text:You are given the following: You have the vector field: 1 F(x, y, z) = xyi+yzj+zzk . Now given the information, please apply Stokes' Theorem to solve the given line integral: , F • dř In this case,: T is a triangle that is in the plane of x+y+z=1 T also has the vertices of (1,0,0), (0,1,0), and (0,0,1). The orientation of T is given by this ordering of the given vertices!
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