The planned path of Airplane A is shown in the graph. Each grid square represents 1 square mile. Airplane B will fly along a path parallel to Airplane A, passing through the point (14, 4). Airplane C will fly along a path perpendicular to each of these paths, passing through the point (7, -1). An air traffic controller is in charge of the region represented by the fourth quadrant. The pilot of Airplane C submits a new flight plan, which indicates a path that is a translation of the original path. Do any of the paths intersect in the air traffic controller's region when the translation is: (a) 3 miles north or (b) 3 miles west?
