What is the angle between the two lines whose direction numbers are \(\left( {\sqrt 3 - 1, - \sqrt 3 - 1,4} \right){\rm{\;and\;}}\left( { - \sqrt 3 - 1,\sqrt 3 - 1,4} \right)?\)

1
\(\frac{{\rm{\pi }}}{6}\)
2
\(\frac{{\rm{\pi }}}{4}\)
3
\(\frac{{\rm{\pi }}}{3}\)
4
\(\frac{{\rm{\pi }}}{2}\)

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