Let three vectors \(\vec{a}, \vec{b}\) and \(\vec{c}\) be such that \(\vec{a} \times \vec{b}=\vec{c}, \vec{b} \times \ve…

Projection of \(\vec{a}\) on \((\vec{b} \times \vec{c})\) is 2

\([\vec{a} \vec{b} \vec{c}]+[\vec{c} \vec{a} \vec{b}]=8\)

\(|3 \vec{a}+\vec{b}-2 \vec{c}|^2=51\)

\(\vec{a} \times((\vec{b}+\vec{c}) \times(\vec{b}-\vec{c}))=\overrightarrow{0}\)