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.

Question

Philoid · Accepted Answer

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,