Zero curl Consider the vector field y F i + sj+ zk. x? + y x? + y? a. Show that V × F = 0. b. Show that fF · dr is not zero on a circle C in the xy-plane enclosing the origin. c. Explain why Stokes' Theorem does not apply in this case.
Zero curl Consider the vector field y F i + sj+ zk. x? + y x? + y? a. Show that V × F = 0. b. Show that fF · dr is not zero on a circle C in the xy-plane enclosing the origin. c. Explain why Stokes' Theorem does not apply in this case.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 11P
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