Question: VectorCalculus (A-Del) operator

I'd like to use the Del operator in the form (A.Del)B, where A and B are vector fields. In Cartesian coordinates this is (Ax d/dx + Ay d/dy + Az d/dz)(Bx ex + By ey + Bz ez), but in other coordinate systems (which are the ones I want to use) it's much more complicated. Is there a way to use the Del operator in this form? (ex, etc. are unit vectors)
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