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,