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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
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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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).
Transcribed Image Text: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.
Transcribed Image Text: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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