MCQ

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$\frac{{\left[ {\left( {\vec a \times \vec b} \right) \times \left( {\vec b \times \vec c} \right)\left( {\vec b \times \vec c} \right) \times \left( {\vec c \times \vec a} \right)\left( {\vec c \times \vec a} \right) \times \left( {\vec a \times \vec b} \right)} \right]}}{{\left[ {\vec a \times \vec b\,\,\,\,\vec b \times \vec c\,\,\,\,\vec c \times \vec a} \right]}}$  is equal to

• A
  ${\left| {\vec a} \right|^2}\,{\left| {\vec b} \right|^2}\,{\left| {\vec c} \right|^2}$
• ✓
  ${\left[ {\vec a\,\,\vec b\,\,\vec c} \right]^2}$
• C
  $\frac{{\left[ {\vec a \times \vec b\,\,\vec b \times \vec c\,\,\vec c \times \vec a} \right]}}{2}$
• D
  $\frac{{{{\left| {\vec a} \right|}^2}\,{{\left| {\vec b} \right|}^2}\,{{\left| {\vec c} \right|}^2}}}{2}$