The angle between the pair of lines $\frac{x+3}{3}=\frac{y-1}{5}=\frac{z+3}{4}$ and $\frac{x+1}{1}=\frac{y-4}{4}=\frac{z-5}{2}$ is

Question

$ \theta=\cos ^{-1}\left[\frac{31}{5 \sqrt{42}}\right]$

$\theta=\cos ^{-1}\left[\frac{8 \sqrt{3}}{15}\right]$

$\theta=\cos ^{-1}\left[\frac{19}{21}\right]$

$\theta=\cos ^{-1}\left[\frac{5 \sqrt{3}}{16}\right]$

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