A vector \(\Vect{x}\) in \(\RNrSpc{2}\) has two direction angles: the vector \(\omega_1\) from the first coordinate axis, and the angle \(\omega_2\) from the second coordinate axis.
Here we illustrate the direction angles of a vector \(\Vect{x}\) in \(\RNrSpc{2}\) and the two coordinate axes:
A vector \(\Vect{x}\) in \(\RNrSpc{2}\) has two direction angles: the vector \(\omega_1\) from the first coordinate axis, and the angle \(\omega_2\) from the second coordinate axis.