Given vectors \(\Vect{a},\Vect{b},\Vect{c}\) in \(\RNrSpc{n}\) the parallelepiped spanned by \(\Vect{a},\Vect{b}, \Vect{c}\) is the collection of all those vectors \(\Vect{x}\) in \(\RNrSpc{n}\) for which there exist numbers \(s,t,u\) such that \(\Vect{x}=s\Vect{a}+t\Vect{b}+u\Vect{c}\).
