The angle between the straight lines \[\frac{x-2}{2}=\frac{y-1}{5}=\frac{z+3}{-3}\]and \[\frac{x+1}{-1}=\frac{y-4}{8}=\frac{z-5}{4}\]is [DCE 2005]

\[{{\cos }^{-1}}\left( \frac{4}{\sqrt{38}} \right)\]

\[{{\cos }^{-1}}\left( \frac{13}{9\sqrt{38}} \right)\]

\[{{\cos }^{-1}}\left( \frac{26}{9\sqrt{38}} \right)\]

\[{{\cos }^{-1}}\left( \frac{2\sqrt{2}}{\sqrt{19}} \right)\]

The angle between the straight lines \[\frac{x-2}{2}=\frac{y-1}{5}=\fr

1.	The angle between the straight lines \[\frac{x-2}{2}=\frac{y-1}{5}=\frac{z+3}{-3}\]and \[\frac{x+1}{-1}=\frac{y-4}{8}=\frac{z-5}{4}\]is [DCE 2005]
A.	\[{{\cos }^{-1}}\left( \frac{13}{9\sqrt{38}} \right)\]
B.	\[{{\cos }^{-1}}\left( \frac{26}{9\sqrt{38}} \right)\]
C.	\[{{\cos }^{-1}}\left( \frac{4}{\sqrt{38}} \right)\]
D.	\[{{\cos }^{-1}}\left( \frac{2\sqrt{2}}{\sqrt{19}} \right)\]
Answer» C. \[{{\cos }^{-1}}\left( \frac{4}{\sqrt{38}} \right)\]

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The angle between the straight lines \[\frac{x-2}{2}=\frac{y-1}{5}=\frac{z+3}{-3}\]and \[\frac{x+1}{-1}=\frac{y-4}{8}=\frac{z-5}{4}\]is [DCE 2005]

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