In a triangle \( A B C \), if \( a, b, c \) are the sides opposite to angles \( A, B, C \) respe...

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In a triangle \( A B C \), if \( a, b, c \) are the sides opposite to angles \( A, B, C \) respectively, then value of \( \left|\begin{array}{lll}b \cos C & a & c \cos B \\ c \cos A & b & a \cos C \\ a \cos B & c & b \cos A\end{array}\right| \) is
(A) 1
(B) \( -1 \)
(C) \( a \cos A+b \cos B+c \cos C \)
(D) undefined
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