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

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

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

\( \left[\begin{array}{lll}\vec{a} & \vec{b} & \vec{c}\end{array}\right]+\left[\begin{array}{lll}\vec{c} & \vec{a} & \vec{b}\end{array}\right]=8 \)

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