Mathematics

Problem

If the angle between the line

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

and the plane

x + 2y + 3z = 4

\cos^{-1}\left(\sqrt{\frac{5}{14}}\right)

, then

\lambda

equals a.

\frac{3}{2}

\frac{2}{5}

\frac{5}{3}

\frac{2}{3}