Angle Between a Line and a Plane

Angle Between a Line and a Plane

If a line has direction ratios $$a,b,c$$ and a plane has normal vector $$A,B,C$$, then the angle $$\theta$$ between the line and plane satisfies:

$$\sin\theta=\frac{|Aa+Bb+Cc|}{\sqrt{A^2+B^2+C^2}\sqrt{a^2+b^2+c^2}}$$

Usage

- Used to find the angle between a line and a plane.