Taking curl of the Navier-Stokes equation

[AKBob]

1.
Homework Statement
I'm having trouble using equation 2.1 or 2.2 in the article to find the curl of the navier-stokes equation. I understand how to find curl, but can't make sense of the explanation/steps in the document provided by the professor.

Homework Equations

All relavent equations are included in the two attachments.

The Attempt at a Solution

I'm really having trouble getting started. The document provided by my professor says to "First evaluate the '(Beta)yk X v' term, substitute that in (v is the vector discussed at the top)," but the equation at the top looks like a general equation, and I'm starting to get frustrated.

Any help/ideas/suggestions would really be appreciated.

 

[voko]

All the equations in the attachments are broken beyond repair.

 

[Muphrid]

Yeah, sorry, use some LaTeX please. It'll be easier on everyone (well, except maybe you). Example:

$$\rho \left(\frac{\partial v}{\partial t} + v \cdot \nabla v \right) = - \nabla p + f + \overline T(\nabla)$$

Is given by

[tex]\rho \left(\frac{\partial v}{\partial t} + v \cdot \nabla v \right) = - \nabla p + f + \overline T(\nabla)[/tex]