   Chapter 16.5, Problem 20E

Chapter
Section
Textbook Problem

Is there a vector field G on ℝ3 such that curl G = ⟨x, y, z⟩? Explain.

To determine

To find: Whether the vector field G on 3 .

Explanation

Given data:

curlG=x,y,z

Formula used:

Consider the standard equation of a divergence of vector field for F=Pi+Qj+Rk

divF=Px+Qy+Rz (1)

Find div(curlF)

Substitute x for P , y for Q

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