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Symbols on Div/Curl Question

  1. Oct 16, 2008 #1

    TFM

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    1. The problem statement, all variables and given/known data

    Determine Div E and Curl E for each of the following vector fields:

    [tex]\vec{E} = (\hat{x} - \hat{z})cos(3(x - z))[/tex]

    [tex]\vec{E} = (\hat{x} + \hat{z})sin(3y) [/tex]


    2. Relevant equations

    N/A


    3. The attempt at a solution

    I can do the div and curl, but I am uncertain what the hat x and y are representing. They normally mean vectors, but I haven't seen them put togther like that? if there was just one letter in hat, I would know that it is, for examle, [tex]\hat{x}sin(x)[/tex] the div would be cos(x), but I confused by the two hats together. Any ideas?

    TFM
     
    Last edited: Oct 16, 2008
  2. jcsd
  3. Oct 16, 2008 #2

    Dick

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    Science Advisor
    Homework Helper

    Suppose you write it this way instead?
    [tex]
    \vec{E} = \hat{x} cos(3(x - z))- \hat{z} cos(3(x - z))
    [/tex]
    Is it still confusing? The hats are just the unit vectors.
     
  4. Oct 16, 2008 #3

    TFM

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    Now that makes sense - I knew that they were unit vectors, but I wasn't sure what it meant when they were grouped together like that.

    Thanks :smile:,

    TFM
     
  5. Oct 20, 2008 #4

    TFM

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    Just checking my answers...

    is the curl of E = 0

    and the div E

    -sin(3(3x - 3z)) - sin(3()3x - 3z)

    TFM
     
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