Find the angle between the line and the plane 10x + 2y – 11z = 3.
Direction ratios of the line are (2,3,6)
Direction ratio of a line perpendicular to the plane
10x + 2y – 11z = 3 are 10, 2, – 11
As we know that the angle θ between the line and a plane a2x + b2y + c2z + d2 = 0 is given by
If θ is the angle between the line and the plane, then
∴
⇒
⇒
⇒ sinθ = ⇒ θ = sin – 1(
∴ the angle between the plane and the line is sin – 1(