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1. If r = xi + yj + zk and r = |r|, show that (i) div 0, %3D (ii) div (grad ") = n (n + 1) r" - 2 (АMIЕТЕ, Jne 2010) (iii) div (r 4) = 30 + r grad %3D

1. If r = xi + yj + zk and r = |r|, show that (i) div 0, %3D (ii) div (grad ") = n (n + 1) r" - 2 (АMIЕТЕ, Jne 2010) (iii) div (r 4) = 30 + r grad %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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1. If r = xi + yj+zk and r = |r|, show that (i) div = 0, %3D (ii) div (grad r") = n (n + 1) r" -2 (AMIETE, June 2010) (iii) div (r 4) = 3¢ + r grad o.
Transcribed Image Text:1. If r = xi + yj+zk and r = |r|, show that (i) div = 0, %3D (ii) div (grad r") = n (n + 1) r" -2 (AMIETE, June 2010) (iii) div (r 4) = 3¢ + r grad o.
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