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Mathematics
Mathematics
Problem
Consider the points
A
(
1
,
−
2
,
3
)
A(1,-2,3)
A
(
1
,
−
2
,
3
)
,
B
(
7
,
4
,
−
5
)
B(7,4,-5)
B
(
7
,
4
,
−
5
)
and
P
(
3
,
0
,
−
1
)
P(3,0,-1)
P
(
3
,
0
,
−
1
)
. (i) Determine the ratio
A
P
:
P
B
AP:PB
A
P
:
P
B
. (ii) Decide whether
P
P
P
divides
A
B
AB
A
B
internally or externally, giving justification for your answer.
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