A vector field is defined by:  F (x,y,z) = -xi - yj + zk  Select the option that gives F expressed in cylindrical coordinates

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Wave Motion
Section: Chapter Questions
Problem 16.42P
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A vector field is defined by: 

F (x,y,z) = -xi - yj + zk 

Select the option that gives F expressed in cylindrical coordinates.

A. F (r,ø,z) = -reø + zez
B. F (r,ø,z) = (-x cos ø - y sin ø) er + (x sin ø - y cos ø) eø + zez 
C. F (r,ø,z) = - rer + zez 
D. F (r,ø,z) = reø + zez 
E. F (r,ø,z) = (x sin ø - y cos ø) er + (-x cos ø - y sin ø) eø + zez

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