Question
If $\vec{a} + 2\vec{b} + 3\vec{c} = \vec{0}$ and $(\vec{a} \times \vec{b}) + (\vec{b} \times \vec{c}) + (\vec{c} \times \vec{a}) = \lambda(\vec{b} \times \vec{c})$, then the value of $\lambda$ is equal to
If $\vec{a} + 2\vec{b} + 3\vec{c} = \vec{0}$ and $(\vec{a} \times \vec{b}) + (\vec{b} \times \vec{c}) + (\vec{c} \times \vec{a}) = \lambda(\vec{b} \times \vec{c})$, then the value of $\lambda$ is equal to