Dik koordinat titik A (2,-1) dan B (-4,2) tentukan koordinat titik C jika dik. perbandingan AC : CB = 2 : 1 AB : BC = 3 : 2

Vektor

A(2,1) , B (-4, 2)
a) AC : CB = 2 : 1
AC = 2 CB
c - a = 2 ( b - c)
c - a = 2b - 2c
c + 2c = 2b + a
3c = 2b + a
c= 1/2 { 2b + a]
c = b + 1/2 a

c = (-4, 2) + 1/2 (2 , -1)
c = (-4 ,2) + (1 , - 1/2)
c = (-4 +1), (2 - 1/2)
C= (-3,  3/2)