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Mathematics
Problem
If A, B and C are the vertices of a triangle whose position vectors are
a
\mathbf{a}
a
,
b
\mathbf{b}
b
and
c
\mathbf{c}
c
and G is the centroid of the
Δ
A
B
C
\Delta ABC
Δ
A
B
C
, then
G
A
+
G
B
+
G
C
\mathbf{GA} + \mathbf{GB} + \mathbf{GC}
GA
+
GB
+
GC
is a. 0 b.
A
+
B
+
C
\mathbf{A} + \mathbf{B} + \mathbf{C}
A
+
B
+
C
c.
a
+
b
+
c
3
\frac{\mathbf{a} + \mathbf{b} + \mathbf{c}}{3}
3
a
+
b
+
c
d.
a
+
b
−
c
3
\frac{\mathbf{a} + \mathbf{b} - \mathbf{c}}{3}
3
a
+
b
−
c
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