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If \( a^{2}+b^{2}+c^{2}=1 \), then prove that \( \left|\begin{array}{ccc}a^{2}+\left(b^{2}+c^{2}\right) \cos \phi & a b(1-\cos \phi) & a c(1-\cos \phi) \\ b a(1-\cos \phi) & b^{2}+\left(c^{2}+a^{2}\right) \cos \phi & b c(1-\cos \phi) \\ c a(1-\cos \phi) & c b(1-\cos \phi) & c^{2}+\left(a^{2}+b^{2}\right) \cos \phi\end{array}\right| \)
\( \mathrm{P} \)
W is independent of \( a, b, c \)
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