A vector field v is expressed in spherical coordinates as v(r, 0, 0) = 2r sin cos o e, +r cos o cos 0 e - r sin pe. Calculate Vxv and hence show that v is conservative.
A vector field v is expressed in spherical coordinates as v(r, 0, 0) = 2r sin cos o e, +r cos o cos 0 e - r sin pe. Calculate Vxv and hence show that v is conservative.
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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Transcribed Image Text:A vector field v is expressed in spherical coordinates as
v(r, 0, 0) = 2r sin cos per + r cos o cose -r sine.
Calculate Vxv and hence show that v is conservative.
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