If \( \hat{a}, \hat{b} \) and \( \hat{c} \) are three unit vectors, such that \( \hat{a}+\hat{b}...
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If \( \hat{a}, \hat{b} \) and \( \hat{c} \) are three unit vectors, such that \( \hat{a}+\hat{b}+\hat{c} \) is also a unit vector and \( \theta_{1}, \theta_{2} \) and \( \theta_{3} \) are angles between the vectors \( \hat{a}, \hat{b} ; \hat{b}, \hat{c} \) and \( \hat{c}, \hat{a} \), respectively, then among \( \theta_{1}, \theta_{2} \) and \( \theta_{3} \)
(A) all are acute angles
(B) all are right angles
(C) at least one is obtuse angle
(D) None of these
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