If the angle between the line

Question:

If the angle between the line $x=\frac{y-1}{2}=\frac{z-3}{\lambda}$ and the plane $x+2 y+3 z=4$ is $\cos ^{-1}\left(\sqrt{\frac{5}{14}}\right)$, then $\lambda$ equals:-

  1. $\frac{2}{5}$

  2. $\frac{5}{3}$

  3. $\frac{2}{3}$

  4. $\frac{3}{2}$


Correct Option:

Solution:

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