What are the coordinates of the point which divides the line segment joining the points $(x1, y1, z1)$ and $(x2, y2, z2)

Question

What are the coordinates of the point which divides the line segment joining the points $(x1, y1, z1)$ and $(x2, y2, z2)$ in the ratio $m:n$ internally?

Accepted Answer

The internal section formula in three dimensions is given by $\left(\frac{mx2 + nx1}{m+n}, \frac{my2 + ny1}{m+n}, \frac{mz2 + nz1}{m+n}\right)$.

Introduction to Three Dimensional Geometry

❓ Sibling Questions in this Chapter