A) 2
B) 3/2
C) ½
D) 1
Correct Answer: C
Solution :
\[|{{\overset{-}{\mathop{a}}\,}_{_{1}}}+{{\overset{-}{\mathop{a}}\,}_{_{2}}}|=\sqrt{a_{1}^{2}+a_{2}^{2}+2{{a}_{1}}{{a}_{2}}\cos \theta }=\sqrt{3}\] |
\[\Rightarrow \cos \theta =\frac{1}{2}\] |
\[({{\overset{-}{\mathop{a}}\,}_{1}}-{{\overset{-}{\mathop{a}}\,}_{2}})(2{{\overset{-}{\mathop{a}}\,}_{1}}+{{\overset{-}{\mathop{a}}\,}_{2}})=\] |
\[2a_{1}^{2}-a_{2}^{2}-{{a}_{1}}{{a}_{2}}\cos \theta =\frac{1}{2}\] |
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