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.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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