Vector operator on vector

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subharpe

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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
 

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