Use Stokes' Theorem to evaluate for F. dr. 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 =

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 48E: Consider the point Ca,b. What is the image of C after a counterclockwise rotation of a 90 about the...
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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.
fo
F. dr =
Transcribed Image Text: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. fo F. dr =
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