This is shown in Figure 1. However, by translating the force vector to its position in Figure 2, the use of the Right Hand Rule becomes more obvious. This is due to the definition of the moment arm, which is the distance between the pivot point and the point where the force acts. Recall the use of the Right Hand Rule in torque calculations.
Fingers are to point in the direction of the first vector, and are curled towards the second vector.
In this case, torque is the cross product of the moment arm and torque.