How to evaluate gradient of a vector? or del operator times a vector

[herbgriffin]

How will i find the gradient of a vector?
i know that gradient is only for scalar to produce a vector? i am confuse since del operator is a vector how will i find the gradient of a vector.
How can i multiply a del operator and vector

 

[CompuChip]

Usually, an expression like \nabla \vec v doesn't make sense.
You might mean \nabla \cdot \vec v instead, which (as a dot product) produces a scalar, or \nabla \times \vec v which (as a cross product) produces a vector.
Only in specific contexts, the expression \nabla \vec v may have a meaning, for example in Clifford algebras or in multi-variable analysis as a shorthand for a matrix like
A_{ij} = \frac{\partial \vec v_i}{\partial x_j}
(although I must admit I've never seen it used like that).