Intersection Angle of Lines

One line is parameterized by \[\begin{pmatrix} 2 - 3t \\ -5 - 2t \\ 1 - 6t \end{pmatrix}.\]Another line is parameterized by \[\begin{pmatrix} -\frac{3}{2} + s \\ 2s \\ -6 + 2s \end{pmatrix}.\]The two lines intersect at $ P $. If $ \theta $ is the acute angle formed by the two lines at $ P, $ then find $ \cos \theta $.

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  • $\frac{a}{b}$
  • .
  • 0
  • =
  • %
  • $a^n$
  • $a^{\circ}$
  • $a_n$
  • $\sqrt{}$
  • $\sqrt[n]{}$
  • $\pi$
  • $\ln{}$
  • $\log$
  • $\theta$
  • $\sin{}$
  • $\cos{}$
  • $\tan{}$
  • $($
  • $)$
  • $[$
  • $]$
  • $\cap$
  • $\cup$
  • $,$
  • $\infty$