NASA has invited you—a Very Important Person—to see the launch of the new Space Technology 7 (ST7) spacecraft. You plan to drive to the launch site in your snazzy new car with its built-in "Vector-Nav" system. You don't need a map. A map wouldn't do you any good anyway, because no one will tell you where the launch site is! Thank goodness the car's computer can receive signals from NASA about the route to take. But the computer can handle only one piece of the route at a time.
Flying in formation . . . with vectors
NASA is looking for Earth-like planets outside our solar system. One way to do this is to fly three or more spacecraft at great distances apart in space, but have them be absolutely locked together in their positions as if they were welded onto a rigid frame. Working together, the spacecraft would be like a huge telescope, making it much easier to spot Earth-sized planets around other stars. Such a formation-flying telescope would also study black holes, supernovas, and other violent events in the Universe.
How can three spacecraft stay exactly in the same exact pattern? Vectors!
However, in our game, we only have to worry about the X and Y directions. In space, we have to add another direction, Z. That makes it a lot harder!