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+ <header style="text-align:center;">
+ <h2>Solutions of Savchenko Physics Textbook</h2>
+ <p class="author">
+ Aliaksandr Melnichenka <br/>
+ October 2023
+ </p>
+ </header>
+
+ <h3 id="back-link"><a href="../#1.1">$\leftarrow$Back</a></h3>
+
+ <h3> Statement </h3>
+ <p>
+ $1.1.21.$ An angular reflector mounted on the moon rover consists of three mutually perpendicular mirrors. If light, whose velocity $c = (c_x,c_y,c_z)$ falls on the reflector. What components will have the velocity of light after reflection from the mirror located in the $yOz$ plane? After reflection from all three mirrors?
+</p>
+<center>
+ <figure>
+ <img src="statement.png"
+ loading="lazy" width="230" />
+ <figcaption>
+ For problem $1.1.21$
+ </figcaption>
+ </figure>
+</center>
+<p>
+ </p>
+
+ <h3>Solution</h3>
+ <p>
+
+<p>
+ $a)$ Since the mirror in the $yOz$ plane reflects the beam along the $Ox$ axis, the $x$ coordinate is inverted.
+
+</p>
+<p>
+ Thus, if $\vec{c_1}$ is the reflected ray from $\vec{c}$,
+</p>
+<p style="text-align: center;">
+ $\vec{c_1} = (-c_x, c_y, c_z)$
+</p>
+<p>
+ $b)$ Similarly, the mirrors in the $yOx$ and $xOz$ planes reflect the beam along the $Oz$ and $Oy$ axes, respectively:
+</p>
+<p style="text-align: center;">
+ $\vec{c_2} = (c_x, c_y, -c_z)$, for$yOx$
+</p>
+<p style="text-align: center;">
+ $\vec{c_3} = (c_x, -c_y, c_z)$, for $xOz$
+</p>
+<p>
+ At reflection from three mirrors at once, all components of $\vec{c}$ will take their negative values:
+</p>
+<p style="text-align: center;">
+ $\vec{c_4} = (-c_x, -c_y, -c_z)$
+</p>
+ </p>
+
+ <h4>Answer</h4>
+ <p>
+ $$(-c_x,c_y,c_z), (-c_x,-c_y,-c_z)$$
+ </p>
+
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