If \(\left[ {\overrightarrow a \overrightarrow b \overrightarrow c } \right] = 1\), then the value of \(\frac{{\overrightarrow a \cdot \overrightarrow b \times \overrightarrow c }}{{\overrightarrow c \times \overrightarrow a \cdot \overrightarrow b }} + \frac{{\overrightarrow b \cdot \overrightarrow c \times \overrightarrow a }}{{\overrightarrow a \times \overrightarrow b \cdot \overrightarrow c }} + \frac{{\overrightarrow c \cdot \overrightarrow a \times \overrightarrow b }}{{\overrightarrow b \times \overrightarrow c \cdot \overrightarrow a }}\) is:

1
1
2
-1
3
2
4
3

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