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Homework Help: Zero divergence

  1. Feb 15, 2005 #1
    Given a vector field:

    [tex]\vec F= (x^2-xy)\hat x +(y^2-yz)\hat y +(z^2-xz)\hat z [/tex]

    Find the conditon for the divergence to be equal to zero.
     
  2. jcsd
  3. Feb 15, 2005 #2
    How about applying the divergence to this vector field and find out?!

    [tex]\nabla \cdot \vec{v}=\frac{\partial v_x}{\partial x}+\frac{\partial v_y}{\partial y}+ \frac{\partial v_z}{\partial z}[/tex]
     
  4. Feb 16, 2005 #3
    I applied it and got :

    [tex] x+y+z = 0 [/tex]

    Is that enough or there is more to it?
     
  5. Feb 16, 2005 #4

    Doc Al

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    Staff: Mentor

    That's all there is to it.
     
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