Symbols on Div/Curl Question

[TFM]

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

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

\vec{E} = (\hat{x} - \hat{z})cos(3(x - z))

\vec{E} = (\hat{x} + \hat{z})sin(3y)


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, \hat{x}sin(x) the div would be cos(x), but I confused by the two hats together. Any ideas?

TFM

[Dick]

Suppose you write it this way instead?

\vec{E} = \hat{x} cos(3(x - z))- \hat{z} cos(3(x - z))

Is it still confusing? The hats are just the unit vectors.

[TFM]

Suppose you write it this way instead?

\vec{E} = \hat{x} cos(3(x - z))- \hat{z} cos(3(x - z))

Is it still confusing? The hats are just the unit vectors.

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

[TFM]

Just checking my answers...

is the curl of E = 0

and the div E

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

TFM