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A vector field is defined by F(x, y, z)=xi − yj+z³k. Select the option that gives F expressed in cylindrical coordinates. Select one: ○ F(r, o, z) = -re, + z²e₂ ○ F(r, o, z) = -red + z²ez ○ F(r, o, z) = (-x cos - y sin o) e, + (x sin - y cos ) ep + zez ○ F(r, ó, z) = (x sìn ó − y cos ó) e, + (−z cos ó − y sin ó) e¿ + z²ªe₂ - F(r, o, z)=re+z²e₂

A vector field is defined by F(x, y, z)=xi − yj+z³k. Select the option that gives F expressed in cylindrical coordinates. Select one: ○ F(r, o, z) = -re, + z²e₂ ○ F(r, o, z) = -red + z²ez ○ F(r, o, z) = (-x cos - y sin o) e, + (x sin - y cos ) ep + zez ○ F(r, ó, z) = (x sìn ó − y cos ó) e, + (−z cos ó − y sin ó) e¿ + z²ªe₂ - F(r, o, z)=re+z²e₂

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A vector field is defined by F(x, y, z) = −xi — yj+z²k. Select the option that gives F expressed in cylindrical coordinates. Select one: OF(r, o, z) = -re, + zªez ○ F(r, o, z) = -rep+z²er z²e₂ F(r, o, z) = (x cos - y sin o) e, + (x sino - y cos ) e + zªez ○ F(r, o, z) = (x sin ó − y cos 6) e, + (−x cos – y sin o) eø +. O F(r, o, z) = rep+z²e
Transcribed Image Text:A vector field is defined by F(x, y, z) = −xi — yj+z²k. Select the option that gives F expressed in cylindrical coordinates. Select one: OF(r, o, z) = -re, + zªez ○ F(r, o, z) = -rep+z²er z²e₂ F(r, o, z) = (x cos - y sin o) e, + (x sino - y cos ) e + zªez ○ F(r, o, z) = (x sin ó − y cos 6) e, + (−x cos – y sin o) eø +. O F(r, o, z) = rep+z²e
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