Mathematics · important
External section formula in 3D for JEE
Coordinates of a point in space, the distance between two points, section formula
Formula
\(R\left(\frac{mx_2-nx_1}{m-n},\frac{my_2-ny_1}{m-n},\frac{mz_2-nz_1}{m-n}\right)\)
Variables: \(R\) divides the line joining \(P(x_1,y_1,z_1)\) and \(Q(x_2,y_2,z_2)\) externally in the ratio \(m:n\).
Conditions: \(m,n>0\), \(m\neq n\).
External division and harmonic division type coordinate problems.