Let \( \hat{\mathbf{a}}, \hat{\mathbf{b}} \) and \( \hat{\mathbf{c}} \) be three unit vectors su...

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Let \( \hat{\mathbf{a}}, \hat{\mathbf{b}} \) and \( \hat{\mathbf{c}} \) be three unit vectors such that \( \hat{\mathbf{a}}=\hat{\mathbf{b}}+(\hat{\mathbf{b}} \times \hat{\mathbf{c}}) \), then the possible value(s) of \( |\hat{\mathbf{a}}+\hat{\mathbf{b}}+\hat{\mathbf{c}}|^{2} \) can be :
\( \mathrm{P} \)
(a) 1
(b) 4
(c) 16
(d) 9
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