If the angle between the line \( x=\frac{y-1}{2}=\frac{z-3}{\lambda} \) and the plane \( x+2 y+3...

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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) \( \frac{2}{3} \)
(2) \( \frac{3}{2} \)
(3) \( \frac{2}{5} \)
(4) \( \frac{5}{2} \)
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