Solve only Q.no.4 4. If p, 4, z are cylindrical coordinates, show that grad (log p) and grad o are solenoidal vectors.5. Obtain the expression for Vf in spherical coordinates from their corresponding expression inorthogonal curvilinear coordinates.

In cyclindrical coordinate systemx=p Cosϕ , y=p Sinϕ , z=zP≥0 , 0≤ϕ<2π , -∞<z<∞dx=dp Cosϕ -…

Answered: 4. If p, 0, z are cylindrical…

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4. If p, 0, z are cylindrical coordinates, show that grad (log p) and grad o are solenoidal vectors.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 31EQ

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Solve only Q.no.4

4. If p, 4, z are cylindrical coordinates, show that grad (log p) and grad o are solenoidal vectors.
5. Obtain the expression for Vf in spherical coordinates from their corresponding expression in
orthogonal curvilinear coordinates.

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