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Mathematics
Problem
Let
a
\mathbf{a}
a
and
b
\mathbf{b}
b
be the position vectors of points
A
A
A
and
B
B
B
respectively. Which of the following vectors gives the position vector of the midpoint
M
M
M
of the segment
A
B
AB
A
B
? a)
a
−
b
2
\dfrac{\mathbf{a}-\mathbf{b}}{2}
2
a
−
b
b)
a
+
b
\mathbf{a}+\mathbf{b}
a
+
b
c)
2
(
a
+
b
)
2(\mathbf{a}+\mathbf{b})
2
(
a
+
b
)
d)
a
+
b
2
\dfrac{\mathbf{a}+\mathbf{b}}{2}
2
a
+
b
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