Ratio formula or section formula is used to find the coordinates of a point P which divides the segment joining the points A and B internally or externally in the ratio m n on three dimension.

Find the coordinates of the point which divides the line joining the points
(1, 2, 3), (1, 2, 3) internally in the ratio 12.
x_{1} = 1,y_{1} = 2,z_{1} = 3 and
x_{2} = 1,y_{2} = 2, z_{2} = 3
m = 1,n = 2
Substitute in the formula as

Find the coordinates of the point which divides the line joining the points
(1, 3, 5), (2, 4, 6) internally in the ratio 23.
x_{1} = 1,y_{1} = 3,z_{1} = 5 and
x_{2} = 2,y_{2} = 4,z_{2} = 6
m = 2,n = 3
Substitute in the formula as

The above example will clearly illustrates how to calculate the Coordinates of Point Externally/Internally using Section or Ratio formula on the three dimension manually.

This tutorial will help you dynamically to find the Analytical Geometry problems.

- Learn How To Calculate Distance Between Two Points
- Learn How To Calculate Coordinates Of Point Externally/Internally
- Learn How To Calculate Mid Point/Coordinates Of Point
- Centroid Of A Triangle Tutorial
- Learn How To Calculate Distance Between 2 Points For 3 Dimension
- Learn How To Calculate Mid Point For 3 Dimension