Section or Ratio(3 dimension) Tutorial

Section or Ratio(3 dimension) Tutorial

Section or Ratio Definition

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.

Section or Ratio Formula

Ratio Externally
ratio
Ratio Internally
ratio
where
(x1, y1, z1), (x2, y2, z2) be the end points of a line segment. mn is ratio externally are internally.
Section or Ratio Example
Case 1 :

Find the coordinates of the point which divides the line joining the points (1, 2, 3), (1, 2, 3) internally in the ratio 12. x1 = 1,y1 = 2,z1 = 3 and x2 = 1,y2 = 2, z2 = 3 m = 1,n = 2 Substitute in the formula as

ratio
ratio
Case 2 :

Find the coordinates of the point which divides the line joining the points (1, 3, 5), (2, 4, 6) internally in the ratio 23. x1 = 1,y1 = 3,z1 = 5 and x2 = 2,y2 = 4,z2 = 6 m = 2,n = 3 Substitute in the formula as

ratio
ratio

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.

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