Divergence of dyadic product of a dyadic and vector

[praban]

I would like to take divergence of the following expression

∇.((xi × xj × xk)/r^3), which is a triadic.

here × denote a dyadic product and r=mod(r vector) and xi, xj and xk are the components of r vector. So, the above eq. can also be written as

∇.((xixjxk ei×ej×ek)/r^3), where ei, ej and ek are unit vectors in i, j and kth directions.

I know how to take divergence of a dyadic. I guess that we can write the triadic as a product of dyadic and vector and then proceed. I am looking for the exact expression of the divergence of dyadic product of a dyadic and a vector.

I would appreciate any help.

Praban

 

[fresh_42]

I know how to take divergence of a dyadic.

Then you can simply iterate the procedure: $a\otimes b \otimes c= (a\otimes b ) \otimes c$.