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WORKBOOK
CA 2
Ex: A(–1, 3), B(4, –2) and are given. Find the coordinates of the point C that divides AB
CB 3
internally.
THE COORDINATES OF A POINT THAT DIVIDES A LINE SEGMENT IN THE RATIO OF “k”
EXTERNALLY
In the Analytic Plane, let the points A(x ,y ), B(x ,y ), and C(x,y) are given and C AB , C AB,
1 1 2 2
CA x kx y ky
If k , then x 1 2 and y 1 2 (k )
CB 1 k 1 k
Ex: A(1, 2) and B(3, 0) are given. Find
CA 5
a) the coordinates of the point C that divides AB in the ratio of externally.
CB 3
b) AC and BC .
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102math-wb-w3-(Vector)
