A) \[{{\cos }^{-1}}\frac{1}{5}\]
B) \[{{\cos }^{-1}}\frac{1}{3}\]
C) \[{{\cos }^{-1}}\frac{1}{2}\]
D) \[{{\cos }^{-1}}\frac{1}{4}\]
Correct Answer: A
Solution :
\[\theta ={{\cos }^{-1}}\,\left( \frac{3+0-5}{\sqrt{1+1}\sqrt{9+16+25}} \right)\] \[={{\cos }^{-1}}\,\left( \frac{-2}{\pm 10} \right)={{\cos }^{-1}}\left( \frac{1}{5} \right)\].
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