I have been studying vector calculus, and came across what was to me an odd identity:

I noticed that the two terms on the right hand side are of different character.

The first term , is the gradient of the divergence of the field, which is avectorquantity.

The second term however, is ascalarquantity.

So how are we supposed to do addition between a vector and a scalar?

Something like a complex number?

Any help with understanding this would be great.

Thank you.