Consider the three waves \( \mathrm{z}_{1}, \mathrm{z}_{2} \) and \( \mathrm{z}_{3} \) as \[ \be...

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Consider the three waves \( \mathrm{z}_{1}, \mathrm{z}_{2} \) and \( \mathrm{z}_{3} \) as
\[
\begin{array}{l}
\mathrm{z}_{1}=\mathrm{A} \sin (k x-\omega \mathrm{t}) \\
\mathrm{z}_{2}=\mathrm{A} \sin (k x+\omega \mathrm{t}) \\
\mathrm{z}_{3}=\mathrm{A} \sin (k y-\omega \mathrm{t})
\end{array}
\]
Which of the following represents a standing wave?
(a) \( z_{1}+z_{2} \)
(b) \( z_{2}+z_{3} \)
(c) \( z_{3}+z_{1} \)
(d) \( z_{1}+z_{2}+z_{3} \)
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