Vector from one point to another in 2D/3D for JEE

Formula

\(\overrightarrow{AB}=(x_2-x_1)\hat{i}+(y_2-y_1)\hat{j}+(z_2-z_1)\hat{k}\)

Variables: \(A(x_1,y_1,z_1),\ B(x_2,y_2,z_2)\).

Conditions: In 2D, take \(z_1=z_2=0\) or omit the \(z\)-term.

Displacement vector between two points.