   Chapter 16, Problem 1RE

Chapter
Section
Textbook Problem

A vector field F, a curve C, and a point P are shown.(a) Is ∫C F · dr positive, negative, or zero? Explain.(b) Is div F(P) positive, negative, or zero? Explain. (a)

To determine

To explain: CFdr is positive, negative or zero.

Explanation

Given data:

The figure of vector field F, a curve C, and a point P is given.

In given figure, the vector starting on point C directed in opposite direction to C, so the tangential component FT is negative.

Represent dr in terms of Tds .

dr=Tds

Find the value of CFdr .

CFdr=C

(b)

To determine

To explain: divF(P) is positive, negative or zero.

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