Answered: Consider the vector field…

Consider the vector field F(x,y,z)=(−3x^2,8(x+y)^2,9(x+y+z)^2). Find the divergence and curl of FF. div(F)=∇⋅F= . (curl(F)=∇×F=( , , )).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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Consider the vector field F(x,y,z)=(−3x^2,8(x+y)^2,9(x+y+z)^2).
Find the divergence and curl of FF.
div(F)=∇⋅F= .
(curl(F)=∇×F=( , , )).

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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