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what is internal and external division
Asked by | 13 Mar, 2009, 01:27: AM

(a) Internal division of a line segment:

Consider the point P(xP , yP) that lies on the line segment AB joining points A(xA , yB) and B(xA , yB):

Point P divides AB in the ratio k1 : k2 , and the coordinates of point P are given by these formulas:

The blue formula is for three dimensional space, where you have 'z' coordinates as well as 'x' and 'y'.

When point P lies between points A and B, it divides AB internally.

(b) External division of a line segment:

When point P lies outside of the line segment AB, it can divide AB externally as shown in this diagram:

The formulas for external division are as follows:

Answered by | 13 Mar, 2009, 01:38: AM

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