Use a space-time diagram to argue the following: (a) show that for two spacetime events separated by an arbitrary timelike intervals one can always (b) show that for two spacetime events separated by an arbitrary spacelike intervals one can always (c) in class, we argued that the straight line between two timelike separated spacetime points is the find a frame where they occur at the same place. find a frame where they occur simultaneously. longest space-time interval between them. is that true for spacelike separated points? explain. (you might want to consider the various paths between the origin and a simultaneous event in some frame).