Q5 of 230 Page 30

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

We know that line and plane is parallel if

……(1)


Given, the equation of the line
 and equation of plane is the


,


So, and


Now,


=


= 1 + 3 – 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,


More from this chapter

All 230 →
3

Find the angle between the line joining the points (3, – 4, – 2) and (12, 2, 0) and the plane 3x – y + z = 1.

 4

The line is parallel to the plane Find m.

 6

Find the vector equation of the line through the origin which is perpendicular to the plane

7

Find the equation of the plane through (2, 3, – 4) and (1, – 1, 3) and parallel to the x – axis.