The Text says: _________
Outside of the Earth's gravitational field -in orbit, for example- things do not "fall down", as there is no "down". _________
This is not correct, as you do not leave Earth's gravitational field in all orbits that there are. Satellites circling earth in a typical orbit, are still affected by Earth's gravity. Gravitational force and centripedal force cancel each other out, thus causing what generally is called "zero-g" - no acceleration.
Correct, except for the fact that the gravitational force is the centripital force, so they don't actually cancel out. Objects in orbit are accelerating (falling), which results in a zero-g feeling, just as one would feel in a falling aircraft.