The vector \(\Vect{x}\) represented by an arrow \(\Arrow{A}{B}\) is the collection of all those arrows in \(\RNrSpc{n}\) which are equivalent to \(\Arrow{A}{B}\). We write \(\Vect{x} = (x_1,\dots ,x_n)\) if, for any and, hence, each of the arrows equivalent to \(\Arrow{A}{B}\)

\(\text{(tip coordinates)} - \text{(tail coordinates)}\)

\(=\)

\((x_1,\dots ,x_n)\)