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If \( \left[\begin{array}{lll}\vec{a} & \vec{b} & \vec{c}\end{array}\right]=1 \) then the value of
\( \mathrm{P} \)
W
\( \rightarrow \rightarrow \rightarrow \rightarrow \rightarrow \rightarrow \rightarrow \)
\( \frac{\vec{a} \cdot \vec{b} \times \vec{c}}{\rightarrow \rightarrow \rightarrow}+\frac{b \cdot \vec{c} \times \vec{a}}{\rightarrow \rightarrow \rightarrow}+\frac{\vec{c} \cdot \overrightarrow{a \times b}}{\rightarrow \rightarrow \rightarrow} \), is
\( \vec{c} \times \vec{a} \cdot \vec{b} \quad \vec{a} \times \vec{b} \cdot \vec{b} \quad \vec{b} \cdot \vec{a} \)
(1) 3
(2) 1
(3) -1
(4) none of these
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