We assume the "will of the Force" is a vector field in some astral plane whose every point represents a state of the universe. A Jedi casts a vector from the current state whose direction is how he or she wishes to change the state of the universe. The magnitude of the Jedi's vector represents the Jedi's skill with the Force. A stronger Jedi can accomplish more with the Force.
The outcome of any Jedi's attempt to use the Force is the projection of the will of the Force vector onto the Jedi's vector, that is, the dot product. A Jedi who wishes to perform an action that coincides well with the will of the Force will be able to accomplish more than an action that is orthogonal to the will of the Force. This explains why a Jedi is much stronger some times than other times.
An interesting thing about the dot product is that if the Jedi's vector is exactly opposite (coincident but pointing the opposite direction) the will of the Force, the projection will also be strong. This is the Dark Side of the Force.
A Jedi's training allows him or her to sense the vector field will of the Force. With great power comes great responsibility, hence the importance of training to sense and go the Light direction of the will of the Force.
The Jedi philosopher asks, why does the Force point the direction that it does? What is it leading up towards?
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