Show that the plane whose vector equation is and the line whose vector equation is are parallel. Also, find the distance between them.

We know that line and plane is parallel if

……(1)

Given, equation of line
and equation of plane is

,

So, and

Now,

=

= 2 + 2 – 4 = 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,