Verify F(x, y, z) = (2y + z)ê + (x – z)j + (y – z )k taken over a triangle cut from the Stokes' theorem for the vector field - Z plane x+ y + z = 1 by the coordinate planes.

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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Verify
F (x, y, z) = (2y+ z)î + (x – z)j + (y – z k taken over a triangle cut from the
plane x+ y+z =1 by the coordinate planes.
Stokes'
theorem
for
the
vector
field
- Z
- Z
Transcribed Image Text:Verify F (x, y, z) = (2y+ z)î + (x – z)j + (y – z k taken over a triangle cut from the plane x+ y+z =1 by the coordinate planes. Stokes' theorem for the vector field - Z - Z
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