Contrails are human-induced clouds that usually form at very high altitudes (usually above 8 km - about 26,000 ft) where the air is extremely cold (less than -40ºC). Because of this, contrails form not when an airplane is taking off or landing, but while it is at cruise altitude. (Exceptions occur in places like Alaska and Canada, where very cold air is sometimes found near the ground.)
Definition source: National Aeronautics and Space Administration