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Mathematics
Problem
If A(1,2), B(4,5) and C(7,8) are three distinct points in the coordinate plane, which one of the following conditions is sufficient to ensure that A, B and C are collinear? a)
m
A
B
×
m
B
C
=
−
1
m_{AB}\,\times\,m_{BC}=-1
m
A
B
×
m
B
C
=
−
1
b)
∣
m
A
B
∣
=
∣
m
B
C
∣
|m_{AB}|=|m_{BC}|
∣
m
A
B
∣
=
∣
m
B
C
∣
c)
m
A
B
=
m
B
C
m_{AB}=m_{BC}
m
A
B
=
m
B
C
d)
m
A
B
=
−
m
B
C
m_{AB}=-\,m_{BC}
m
A
B
=
−
m
B
C
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