Dot product in component form for JEE

Formula

\(\vec{a}\cdot\vec{b}=a_xb_x+a_yb_y+a_zb_z\)

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

Conditions: In 2D, omit the \(z\)-term.

Direct computation of scalar product from coordinates.