(B) Prove that the stream line of b are counterclockwise circles, for that calculate F = Vx (-y ěx+ xěy), which is the form of V x b, where bx = -y, by = x, bz = 0. We have %3D Fx =dbzðy - dbydz = 0, Fy =ðbxdz - dvzðx = 0, Fz =əbyðx - Əbxðy = 2 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(B) Prove that the stream line of b are
counterclockwise circles, for that calculate F
= V x (-y ěx+ xěy), which is the form of V x
b, where bx = -y, by = x, bz = 0. We have
Fx -дbzду - дѣудх 3 0, Fy %3дbхдz - дугдх — 0,
Fz -Dbyдх - дѣхду %3 2
0, Fy %3Dдbхдг - дугдх —D 0,
Transcribed Image Text:(B) Prove that the stream line of b are counterclockwise circles, for that calculate F = V x (-y ěx+ xěy), which is the form of V x b, where bx = -y, by = x, bz = 0. We have Fx -дbzду - дѣудх 3 0, Fy %3дbхдz - дугдх — 0, Fz -Dbyдх - дѣхду %3 2 0, Fy %3Dдbхдг - дугдх —D 0,
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