Page 162 -
P. 162
FIGURE 6.1
The center of mass of a triangle. (Refer to Pb. 6.6).
Pb. 6.6 Consider the triangle ∆(ABC), in which D is the midpoint of the BC
segment, and let the point G be defined such that (GD = 1 (AD ). Assuming
)
3
that z , z , z are the complex numbers representing the points (A, B, C):
B
A
C
a. Find the complex number z that represents the point G.
G
b. Show that (CG = 2 (CF ) and that F is the midpoint of the segment
)
3
(AB).
6.3 Complex Conjugation and Division
DEFINITION The complex conjugate of a complex number z, which is
denoted by , is given by:z
© 2001 by CRC Press LLC
