Three Dimensional Geometry Question 233

Question: The angle between the pair of lines with direction ratios (1, 1, 2) and $ (\sqrt{3}-1,-\sqrt{3}-1,4) $ is

[MP PET 1997, 2000]

Options:

A) $ 30{}^\circ $

B) $ 45{}^\circ $

C) $ 60{}^\circ $

D) $ 90{}^\circ $

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Answer:

Correct Answer: C

Solution:

$ \cos \theta =\frac{1,(\sqrt{3}-1)-1,(\sqrt{3}+1)+2\times 4}{\sqrt{6},\sqrt{24}}=\frac{6}{12}\Rightarrow \theta =60^{o} $ .