Use Stokes' Theorem to evaluate fr. F. dr. C F(x, y, z) = 5xyi + 5yzj + 5zxk where is the triangle in the plane x + y + z = 1 with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1), with a counterclockwise orientation looking from the first octant toward the origin. NOTE: Enter the exact answer. fr F. dr C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Use Stokes' Theorem to evaluate
f
F. dr.
C
F(x, y, z) = 5xyi + 5yzj + 5zxk
C
where is the triangle in the plane x + y + z = 1 with vertices
(1, 0, 0), (0, 1, 0), and (0, 0, 1), with a counterclockwise orientation
looking from the first octant toward the origin.
NOTE: Enter the exact answer.
fo
F. dr =
C
Transcribed Image Text:Use Stokes' Theorem to evaluate f F. dr. C F(x, y, z) = 5xyi + 5yzj + 5zxk C where is the triangle in the plane x + y + z = 1 with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1), with a counterclockwise orientation looking from the first octant toward the origin. NOTE: Enter the exact answer. fo F. dr = C
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