Let \( \mathrm{a}, \hat{\mathrm{b}}, \mathrm{c} \) are three unit v...

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Let \( \mathrm{a}, \hat{\mathrm{b}}, \mathrm{c} \) are three unit vectors such that \( \mathrm{a}+\hat{\mathrm{b}}+\mathrm{e} \) is also a unit vector. If pairwise
W. angles between \( \hat{a}, \hat{b} \), c are \( \theta_{1}, \theta_{2} \) and \( \theta_{3} \) respectively then \( \cos \theta_{1}+\cos \theta_{2}+\cos \theta_{3} \) equals?
A 3
B \( -3 \)
C 1
D \( -1 \)
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