Pic 1:Q1Pic:Q2 PROBLEM (2):Consider the curvilinear coordinate system defined by2.y =2 u, u2,Z = u3(i)Show that the system is orthogonal and right handed. Compute the scale factors.(ii)Find V. A and VXA for the vector field A = u, e,+ u, e2+u, es. 2(iii)Find the expression for V´y (u,, u2, u3). PROe pointPROBLEM (8):In cylinderical polar coordinates, A = r cos 0 er+r sin e e e. Find V. A.

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(2): Consider the curvilinear coordinate system defined by 2 X = uj-12, y = 2 u, u2, z = u3 Show that the system is orthogonal and right handed. Compute the scale factors (ii) Find V. A and Vx. for the vector field A u, e,+u, e2+u, e; %3D (iii) Find the expression for V´w (u,,u2, u3).

(2): Consider the curvilinear coordinate system defined by 2 X = uj-12, y = 2 u, u2, z = u3 Show that the system is orthogonal and right handed. Compute the scale factors (ii) Find V. A and Vx. for the vector field A u, e,+u, e2+u, e; %3D (iii) Find the expression for V´w (u,,u2, u3).

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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Pic 1:Q1 Pic:Q2

PROBLEM (2):
Consider the curvilinear coordinate system defined by
2.
y =
2 u, u2,
Z = u3
(i)
Show that the system is orthogonal and right handed. Compute the scale factors.
(ii)
Find V. A and VXA for the vector field A = u, e,+ u, e2+u, es
. 2
(iii)
Find the expression for V´y (u,, u2, u3).

PRO
e point
PROBLEM (8):
In cylinderical polar coordinates, A = r cos 0 er+r sin e e e. Find V. A.

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