(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This problem is in Introduction to Eletrodynamics, of Griffiths, 3^{rd}edition, p.20, problem 1.19. He asks a vector function v(x,y,z), other than the constant, that has:

[itex]\nabla\cdot\vec{v}=0 \mbox{ and } \nabla\times\vec{v}=0[/itex]

2. Relevant equations

I hope you know them.

3. The attempt at a solution

I tried to force the divergence to be zero, using [itex]\vec{v}[/itex], like this: [itex]\vec{v}=v_x(y,z)\hat{x}+v_y(x,z)\hat{y}+v_z(x,y) \hat{z}[/itex]

then i solved for the curl of v to be zero and this gave me 3 partial diferencial equations, and so I stoped and decided to get help. Some ideas?

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# Homework Help: Something about vector fields

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