If there are mirrors on the ceiling and two adjacent walls of a room,how many images of a person in the room will be visible?

Two parallel mirrors $M_1$ and $M_2$ are separated by a distance $a$. An object is placed between them. What is the distance between the $n^{th}$ image formed by $M_1$ and the $n^{th}$ image formed by $M_2$?

$A$ point source is placed at coordinates $(0,1)$ in the $xy$-plane. $A$ ray of light from the source is reflected on a plane mirror placed along the $X$-axis and perpendicular to the $xy$-plane. The reflected ray passes through the point $(3,3)$. What is the path length of the ray from $(0,1)$ to $(3,3)$?

$A$ man is $180\,cm$ tall and his eyes are $10\,cm$ below the top of his head. In order to see his entire height from toe to head,he uses a plane mirror kept at a distance of $1\,m$ from him. The minimum length of the plane mirror required is.....$cm$.

The angle made by the incident ray of light with the reflecting surface is called:

$A$ mirror is placed at an angle of $30^{\circ}$ with respect to the $Y$-axis (see figure). $A$ light ray travelling in the negative $y$-direction strikes the mirror. The direction of the reflected ray is given by the vector