Answered: F · dr where F = (x + 5z) i + (7x…

F · dr where F = (x + 5z) i + (7x + y) j + (2y − z) k and C is the curve of intersection of the plane x + 3y + z = 12 with the coordinate planes. (Assume that C is

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Question

Use Stokes' Theorem to evaluate

∫

F · dr where F = (x + 5z) i + (7x + y) j + (2y − z) k and C is the curve of intersection of the plane x + 3y + z = 12 with the coordinate planes.
(Assume that C is oriented counterclockwise as viewed from above.)

Expert Solution