Question

_____ is the complement of the angle between the line L and a normal line to the plane π.

(a) Normal between a plane and a line

(b) The angle between a line and a plane

(c) Tangent between a plane and a line

(d) Distance between a plane and a line

I had been asked this question in an interview.

I would like to ask this question from Three Dimensional Geometry in chapter Three Dimensional Geometry of Mathematics – Class 12

Answer 1

The correct choice is (b) The angle between a line and a plane

Easiest explanation: The angle between a line and a plane is the complement of the angle between the line L and a normal line to the plane π. If θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 0 then sin θ=\(\frac {a1a+b1b+c1c}{\sqrt {a^2+b^2+c^2} \sqrt{a1^2+b1^2+c1^2 }}\).