Q4 of 230 Page 30

The line is parallel to the plane Find m.

We know that line is parallel to the plane if …… (1)

Given the equation of the line is

and the equation of the plane is

So,

Putting the values in equation (1)

⇒ 2m – 3m – 3 = 0

⇒ – m = 3

⇒ m = – 3

Find the angle between the line and the plane 2x + y – z = 4.

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

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

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