Cross product in determinant form for JEE

Formula

\[\vec{a}\times\vec{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\a_x&a_y&a_z\\b_x&b_y&b_z\end{vmatrix}\]

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

Computing cross product in coordinate form.