Vector operator on vector

[subharpe]

Hi,

We know Nabla (the inverted capital Delta) is a vector operator which operating on scalar function can give the gradient of that function. Similarly it operates on a vector to give the dyadic matrix. I am not talking about the inner and outer product which I am okay with. I am talking of the dyadic product of Nabla with any vector.

I want to find out the expression of dyadic product of Nabla and any vector in Cartesian, cylindrical and spherical coordinate systems. Can anyone help?

Thanks in advance