Increasing the distance from the force vector to the center of resistance will result in what change?

When the distance from the force vector to the center of resistance increases, the moment of force—as a result of that force vector—also increases. The moment of force, which is also referred to as torque, is calculated by multiplying the magnitude of the force by the perpendicular distance from the line of action of the force to the pivot point or center of resistance.

As this distance increases, you effectively amplify the rotational effect of the force being applied. This means that even if the force itself remains constant, the ability of that force to cause rotation or movement around the center of resistance is heightened due to the longer lever arm created by the increased distance. This principle is essential in orthodontic treatments, where understanding the dynamics of forces and their moments can influence the movement of teeth and the effectiveness of appliances used.

In contrast, decreasing the distance would diminish the moment of force, and there would be no increase in moment if the force remained unchanged. Similarly, the strength or magnitude of the force itself is not altered simply by moving the point of application; instead, the focus is purely on the relationship between the distance and the resulting effect of that force in the system.