# JEE-Mains 2014 (25/30)

**Geometry**Level 3

\[ \left[ \vec{a} \times \vec{b} \quad \vec{b} \times \vec{c} \quad \vec{c} \times \vec{a} \right]=\lambda \left[ \vec{a} \quad \vec{b} \quad \vec{c} \right]^2\]

What is the value of \(\lambda \)?

\[ \left[ \vec{a} \times \vec{b} \quad \vec{b} \times \vec{c} \quad \vec{c} \times \vec{a} \right]=\lambda \left[ \vec{a} \quad \vec{b} \quad \vec{c} \right]^2\]

What is the value of \(\lambda \)?

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