Find the equation of the plane passing through the point $D(1, 0, 2)$ and parallel to the $yz$-plane.

1. Problem Description

Find the equation of the plane passing through the point $D(1, 0, 2)$ and parallel to the $yz$-plane.

2. Solution Steps

The $yz$-plane is defined by the equation $x = 0$. A plane parallel to the $yz$-plane will have the form $x = c$ for some constant $c$.

Since the plane passes through the point $D(1, 0, 2)$, we can substitute the coordinates of this point into the equation of the plane $x=c$.

Substituting $x=1$ into $x=c$ gives $c = 1$.

Therefore, the equation of the plane is $x = 1$.

3. Final Answer

$x = 1$