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Mathematics
Mathematics
Problem
The points
P
(
1
,
2
,
3
)
P(1,2,3)
P
(
1
,
2
,
3
)
,
Q
(
4
,
5
,
6
)
Q(4,5,6)
Q
(
4
,
5
,
6
)
and
R
(
7
,
8
,
9
)
R(7,8,9)
R
(
7
,
8
,
9
)
are given. a. (i) Obtain the vectors
P
Q
→
\overrightarrow{PQ}
P
Q
and
P
R
→
\overrightarrow{PR}
P
R
. b. (ii) Verify whether the three points are collinear. c. (iii) If they are collinear, find the ratio in which
Q
Q
Q
divides the segment
P
R
PR
P
R
.
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