Use Stoke's Theorem to evaluate · F · dĩ where F = (xz, xy, 3xz) where C is the boundary of the triangular region formed by (1,0,0), (0,2,0), and (0,0,2) transversed counterclockwise when viewed from above.

Use Stoke's Theorem to evaluate · F · dĩ where F = (xz, xy, 3xz) where C is the boundary of the triangular region formed by (1,0,0), (0,2,0), and (0,0,2) transversed counterclockwise when viewed from above.

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

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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Question

Use Stoke's Theorem to evaluate
$o
(xz, xy, 3xz) where C is the
boundary of the triangular region formed by (1,0,0), (0,2,0), and (0,0,2) transversed counterclockwise when
viewed from above.
F. dr where F
=

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