Having heaps of trouble with v.identities any help possible would be greatly appreciated.
Let F = (z,y,-x) and f = |F| <--- (magnitude F)
Use vector identities to calculate;
$\displaystyle
\nabla \cdot (f \nabla \times (f F))
$
Having heaps of trouble with v.identities any help possible would be greatly appreciated.
Let F = (z,y,-x) and f = |F| <--- (magnitude F)
Use vector identities to calculate;
$\displaystyle
\nabla \cdot (f \nabla \times (f F))
$
I was going to use the following identity on the part inside brackets;
$\displaystyle
\nabla \cdot (F \times G) = G \cdot ( \nabla \times F) - F\cdot ( \nabla \times G)
$
where $\displaystyle F= f \nabla$ and $\displaystyle G= f F$
but am not sure this is right move and wher to go from there??
cheers