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Problem 8. (i) Prove that curl(u × v) = div(u ® v – v ® u) %3D

Problem 8. (i) Prove that curl(u × v) = div(u ® v – v ® u) %3D

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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(i) Prove that curl(u x v) = div(u ®v – v ® u) e(z-10) v(x) Problem 8. (ii) For a fixed point ro E R³, constant vector c, o(x) every r such that |x – xo] # 0 ex(x-rq) |r-zo|3 z-z0|3 prove that at Оф + сurlu %3D0, Дф%3D 0, div %3D0
Transcribed Image Text:(i) Prove that curl(u x v) = div(u ®v – v ® u) e(z-10) v(x) Problem 8. (ii) For a fixed point ro E R³, constant vector c, o(x) every r such that |x – xo] # 0 ex(x-rq) |r-zo|3 z-z0|3 prove that at Оф + сurlu %3D0, Дф%3D 0, div %3D0
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