R V(In r) C.

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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Solve only C & D

1. If r = xax+ yay+ zaz is the position vector of point (x, y, z), r = |R| and n is an integer, show
that:
a. V. r"R = (n + 3)r"
b. V x r^R = 0
c. V(In r)
= =
R
2
d. V² (Inr) = (=)
Transcribed Image Text:1. If r = xax+ yay+ zaz is the position vector of point (x, y, z), r = |R| and n is an integer, show that: a. V. r"R = (n + 3)r" b. V x r^R = 0 c. V(In r) = = R 2 d. V² (Inr) = (=)
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