I am following Pavel Etingof et al's book on tensor categories.
They give FinVect as an example of a rigid monoidal category, with evaluation map given by $\text {ev}_V(\epsilon\otimes v)=\epsilon(v)$ and coevaluation map $\text{coev}_V:\mathbb K \rightarrow V\otimes V^*$ "the usual embedding".
My question is embarassingly simple: what is this "usual embedding?" I was trying to see what it had to be using the definition of evaluation and coevaluation, but got nowhere.