   Chapter 16.5, Problem 30E

Chapter
Section
Textbook Problem

Let r = x i + y j + z k and r = |r|.30. Verify each identity.(a) ∇ · r = 3(b) ∇ · (rr) = 4r(c) ∇2r3 = 12r

(a)

To determine

To verify: The vector field of the form r=3 .

Explanation

Given data:

r=xi+yj+zk

Find r .

r=(xi+yj+zk)(xi+yj+zk)=xxii+yyjj

(b)

To determine

To verify: The vector field of the form (rr)=4r .

(c)

To determine

To verify: The vector field of the form 2r3=12r .

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