Scalar triple product determinant form for JEE

Formula

\[\vec{a}\cdot(\vec{b}\times\vec{c})=\begin{vmatrix}a_x&a_y&a_z\\b_x&b_y&b_z\\c_x&c_y&c_z\end{vmatrix}\]

Variables: \(\vec{a}=(a_x,a_y,a_z),\ \vec{b}=(b_x,b_y,b_z),\ \vec{c}=(c_x,c_y,c_z)\).

Computing scalar triple product from coordinates.