Define the force field F(x, y, z) = < xy, -yz, xz >. a. Find the divergence and curl of F. b. Let C be the directed line segment from (0, 0, 0) to (1, 1, 2). Find the work done by Fin moving a particle along C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Define the force field
F(x, y, z) = < xy, —yz, xz >.
Find the divergence and curl of F.
a.
b. Let C be the directed line segment from (0, 0, 0) to (1, 1, 2). Find the work done by Fin
moving a particle along C.
Transcribed Image Text:Define the force field F(x, y, z) = < xy, —yz, xz >. Find the divergence and curl of F. a. b. Let C be the directed line segment from (0, 0, 0) to (1, 1, 2). Find the work done by Fin moving a particle along C.
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