I've been trying to learn Barycentric coordinates and came across the following definition:
I am confused if $\vec A, \vec B, \vec C$ are denoted as $\vec {PA}, \vec {PB}, \vec {PC}$ respectively or it denotes $\vec {OA}, \vec {OB}, \vec {OC}$ where $O$ is the origin different from any of the points mentioned.

here is a sketch of the definition
A,B,C and P are points on the plane
$\vec{A},\vec{B},\vec{C}$ and $\vec{P}$ are the corresponding vectors from the origin