Angle Between a Line and a Plane

1. Angle \(\theta\) between Plane having Normal Vector \(\vec{A}\) and a Line having Direction Ratio Vector \(\vec{B}\) is given as
   
   \(\theta = \sin^{-1} (\frac{|\vec{A}\cdot\vec{B}|}{\vert \vec{A} \vert \vert \vec{B} \vert})\)
2. If \(\vec{A}\cdot\vec{B}=0\) then the Line and Plane are Parallel.
3. If \(\vec{A}\times\vec{B}=0\) then the Line and Plane are Perpendicular.