Chapter 16.5, Problem 30E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Let **r** = *x* **i** + *y* **j** + *z* **k** and *r* = |**r**|.

**30.** Verify each identity.

(a) ∇ · **r** = 3

(b) ∇ · (*r***r**) = 4*r*

(c) ∇^{2}*r*^{3} = 12*r*

**(a)**

To determine

**To verify:** The vector field of the form

Explanation

**Given data:**

Find

**(b)**

To determine

**To verify:** The vector field of the form

**(c)**

To determine

**To verify:** The vector field of the form

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