State when the line is parallel to the plane Show that the line is parallel to the plane Also, find the distance between the line and the plane.

We know that line and plane is parallel if

……(1)

Given, equation of line
and equation of plane is

,

So, and

Now,

=

= – 2 + 2 = 0

So, the line and the plane are parallel

We know that the distance (D) of a plane from a point is given by

We take the mod value

So,