1.

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:

A. 1
B. -1
C. 2
D. 3
Answer» E.


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