A system and method is disclosed for determining an optimal direction and a minimum directional negative distance between two objects. The system and method uses an iterative process involving rotating a vector about two or more axes to obtain a group of new vectors, determining which one of the new group of vectors has the smallest directional negative distance, comparing the vector having the smallest directional negative distance to a preset value, and repeating the above operations as needed until a vector is obtained which does not exceed the preset value, and which is then identified as the optimum directional vector having a minimal directional negative value.