A) \[\frac{\pi }{3}\]
B) \[\frac{\pi }{2}\]
C) \[\frac{2\pi }{3}\]
D) \[\frac{5\pi }{6}\]
Correct Answer: C
Solution :
[c] \[{{(\hat{a}+\hat{b}+\hat{c})}^{2}}\ge 0\] \[3+2(\hat{a}.\hat{b}+\vec{b}.\hat{c}+\vec{c}.\vec{a})\ge 0\] \[3+6\cos \theta \ge 0\] \[\cos \theta \ge -\frac{1}{2}\] \[\Rightarrow \theta =\frac{2\pi }{3}\]
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