Chapter 16, Problem 2RQ

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

If **F** is a vector field, then curl **F** is a vector field.

To determine

Whether the statement “If **F** is a vector field, then Curl **F** is a vector field” is true or false.

Explanation

**Formula used:**

Consider the two three-dimensional vectors such as

Write the expression of cross product between the three vectors **a** and **b**.

Consider **F** is a three-dimensional vector field that is

The

Find the cross product of these two vectors using equation (1)

Sect-16.1 P-1ESect-16.1 P-2ESect-16.1 P-3ESect-16.1 P-4ESect-16.1 P-5ESect-16.1 P-6ESect-16.1 P-7ESect-16.1 P-8ESect-16.1 P-9ESect-16.1 P-10E

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