If $\begin{bmatrix}\vec a×\vec b &\vec b×\vec c& \vec c×\vec a\end{bmatrix}=λ[\vec a\,\,\vec b\,\,\vec c]^2$, then λ is equal to
Answer & explanation
Correct answer: option 2
We know that
$\begin{bmatrix}\vec a×\vec b &\vec b×\vec c& \vec c×\vec a\end{bmatrix}=λ[\vec a\,\,\vec b\,\,\vec c]^2$. Therefore,
$\begin{bmatrix}\vec a×\vec b &\vec b×\vec c& \vec c×\vec a\end{bmatrix}=λ[\vec a\,\,\vec b\,\,\vec c]^2$ gives λ = 1.