The acute angle between the line joining the points (2,1,?3), (?3,1,7) and a line parallel to \[\frac{x-1}{3}=\] \[\frac{y}{4}=\frac{z+3}{5}\] through the point (?1, 0, 4) is [MP PET 1998]

\[{{\cos }^{-1}}\left( \frac{1}{\sqrt{10}} \right)\]

\[{{\cos }^{-1}}\left( \frac{7}{5\sqrt{10}} \right)\]

\[{{\cos }^{-1}}\left( \frac{3}{5\sqrt{10}} \right)\]

\[{{\cos }^{-1}}\left( \frac{1}{5\sqrt{10}} \right)\]

The acute angle between the line joining the points (2,1,?3), (?3,1,7)

1.	The acute angle between the line joining the points (2,1,?3), (?3,1,7) and a line parallel to \[\frac{x-1}{3}=\] \[\frac{y}{4}=\frac{z+3}{5}\] through the point (?1, 0, 4) is [MP PET 1998]
A.	\[{{\cos }^{-1}}\left( \frac{7}{5\sqrt{10}} \right)\]
B.	\[{{\cos }^{-1}}\left( \frac{1}{\sqrt{10}} \right)\]
C.	\[{{\cos }^{-1}}\left( \frac{3}{5\sqrt{10}} \right)\]
D.	\[{{\cos }^{-1}}\left( \frac{1}{5\sqrt{10}} \right)\]
Answer» B. \[{{\cos }^{-1}}\left( \frac{1}{\sqrt{10}} \right)\]

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The acute angle between the line joining the points (2,1,?3), (?3,1,7) and a line parallel to \[\frac{x-1}{3}=\] \[\frac{y}{4}=\frac{z+3}{5}\] through the point (?1, 0, 4) is [MP PET 1998]

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