If \(\vec{a}+2 \vec{b}+3 \vec{c}=\overrightarrow{0}\) 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 λ is equal to

1
4
2
2
3
6
4
3

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