${z_1},{z_2}$ and ${z_3}$ as${z_1} = A\sin (kx - \omega \,t)$, ${z_2} = A\sin (kx + \omega \,t)$ and ${z_3} = A\sin (ky - \omega \,t)$.
Which of the following represents a standing wave
Wave ${Z_2} = A\sin (kx + \omega t)$, is travelling towards negative $x-$direction.
Wave ${Z_3} = A\sin (ky - \omega t)$ is travelling towards positive $y$ direction.
Since waves $Z_1$ and $Z_2$ are travelling along the same line so they will produce stationary wave.
