Three Dimensional Geometry Question 237

Question: The angle between the straight lines $ \frac{x+1}{2}=\frac{y-2}{5}=\frac{z+3}{4} $ and $ \frac{x-1}{1}=\frac{y+2}{2}=\frac{z-3}{-3} $ is

[MP PET 2000]

Options:

A) $ 45{}^\circ $

B) $ 30{}^\circ $

C) $ 60{}^\circ $

D) $ 90{}^\circ $

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Answer:

Correct Answer: D

Solution:

$ \theta ={{\cos }^{-1}}\frac{(2+10-12)}{\sqrt{4+25+16}\sqrt{1+4+9}},={{\cos }^{-1}}(0) $
Þ $ \theta =90^{o} $ .