Line through two given points: parametric form for JEE

Formula

\(x=x_1+\lambda(x_2-x_1),\quad y=y_1+\lambda(y_2-y_1),\quad z=z_1+\lambda(z_2-z_1)\)

Variables: The line passes through \(P(x_1,y_1,z_1)\) and \(Q(x_2,y_2,z_2)\).

Conditions: \(P\neq Q\).

Constructing line equation from endpoints.