Evaluate the path integral fydx+zdy+xdz, where C is the ellipse in R³ obtained с by intersecting the cylinder x² + y² = 1 by the plane x+y+z= 1, with orientation (0, 1, 0) (-1,0, 2) → (1,0, 0) (i.e., counter clockwise orientation viewed from 'above' the ellipse on the z-axis).
Evaluate the path integral fydx+zdy+xdz, where C is the ellipse in R³ obtained с by intersecting the cylinder x² + y² = 1 by the plane x+y+z= 1, with orientation (0, 1, 0) (-1,0, 2) → (1,0, 0) (i.e., counter clockwise orientation viewed from 'above' the ellipse on the z-axis).
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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