Cross product in expanded component form for JEE

Formula

\(\vec{a}\times\vec{b}=(a_yb_z-a_zb_y)\hat{i}-(a_xb_z-a_zb_x)\hat{j}+(a_xb_y-a_yb_x)\hat{k}\)

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

Direct component-wise computation of vector product.