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Mathematics
Mathematics
Problem
Explain why the coordinates of the midpoint of the line segment joining
A
(
x
1
,
y
1
,
z
1
)
A(x_1,y_1,z_1)
A
(
x
1
,
y
1
,
z
1
)
and
B
(
x
2
,
y
2
,
z
2
)
B(x_2,y_2,z_2)
B
(
x
2
,
y
2
,
z
2
)
are
(
x
1
+
x
2
2
,
y
1
+
y
2
2
,
z
1
+
z
2
2
)
\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2},\dfrac{z_1+z_2}{2}\right)
(
2
x
1
+
x
2
,
2
y
1
+
y
2
,
2
z
1
+
z
2
)
.
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