Distance between two points for JEE

Formula

\(AB=|\overrightarrow{AB}|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}\)

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

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

Length and geometry problems using vector components.