Final answer:
The pressure gradient (P1 - P2) is the best determinant of flow through a single vessel.
Step-by-step explanation:
The pressure gradient (P1 - P2) is the best determinant of flow through a single vessel. According to Poiseuille's equation, the flow rate through a vessel is directly proportional to the pressure gradient. The absolute magnitude of P1 is not as important as the pressure gradient in determining flow. Therefore, option 1) The pressure gradient (i.e., P1 - P2) is the correct answer.