A room has the dimensions 10 ft X 12 ft X 14 ft. A fly starting at one corner ends up at a diametrically opposite corner.
(a) Find the displacement vector in a frame with coordinate axes parallel to the edges of the room.
(b) What is the magnitude of the displacement?
(c) Could the length of the path traveled by the fly be less than this distance? Greater than this distance? Equal to this distance?
(d) If the fly walks rather than flies, what is the length of the shortest path it can take?