Chapter 16, Problem 9RCC

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Suppose **F** is a vector field on ℝ^{3}.

(a) Define curl **F**.

(b) Define div **F**.

(c) If **F** is a velocity field in fluid flow, what are the physical interpretations of curl **F** and div **F**?

**(a)**

To determine

**To define**: The curl of vector field

Explanation

Consider a vector field

Write the expression for del operator

The curl of

Substitute

**(b)**

To determine

**To define**: The

**(c)**

To determine

**To express**: The physical interpretations of

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