Statement I Let be the angle between the line and the plane

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Statement I Let

\theta

be the angle between the line

\frac{x-2}{2} = \frac{y-1}{-3} = \frac{z+2}{-2}

and the plane

x+y-z=5

. Then,

\theta = \sin^{-1}\left(\frac{1}{\sqrt{51}}\right)

. Statement II Angle between a straight line and a plane is the complement of angle between the line and normal to the plane.