Three Dimensional Geometry Question 205
Question: The angle between the lines $ \frac{x}{1}=\frac{y}{0}=\frac{z}{-1} $ and $ \frac{x}{3}=\frac{y}{4}=\frac{z}{5} $ is
[Pb. CET 2002]
Options:
A) $ {{\cos }^{-1}}\frac{1}{5} $
B) $ {{\cos }^{-1}}\frac{1}{3} $
C) $ {{\cos }^{-1}}\frac{1}{2} $
D) $ {{\cos }^{-1}}\frac{1}{4} $
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Answer:
Correct Answer: A
Solution:
$ \theta ={{\cos }^{-1}},( \frac{3+0-5}{\sqrt{1+1}\sqrt{9+16+25}} ) $ $ ={{\cos }^{-1}},( \frac{-2}{\pm 10} )={{\cos }^{-1}}( \frac{1}{5} ) $ .
BETA
