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Mathematics
Mathematics
Problem
Three points in space are
P
(
2
,
−
1
,
3
)
P(2,-1,3)
P
(
2
,
−
1
,
3
)
,
Q
(
5
,
3
,
1
)
Q(5,3,1)
Q
(
5
,
3
,
1
)
and
R
(
−
1
,
4
,
2
)
R(-1,4,2)
R
(
−
1
,
4
,
2
)
. (a) Find the length of each of the segments
P
Q
PQ
P
Q
,
P
R
PR
P
R
and
Q
R
QR
QR
. (b) Arrange these three lengths in descending order. (c) State the pair of points that are nearest to each other.
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