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Mathematics
Mathematics
Problem
For distinct points
A
A
A
and
B
B
B
, a point
P
P
P
satisfies
2
P
A
⃗
+
3
P
B
⃗
=
0
2\vec{PA}+3\vec{PB}=\mathbf{0}
2
P
A
+
3
P
B
=
0
. How does
P
P
P
divide the segment
A
B
AB
A
B
? a) Externally in the ratio
3
:
2
3:2
3
:
2
b) Internally in the ratio
3
:
2
3:2
3
:
2
c) Internally in the ratio
2
:
3
2:3
2
:
3
d) Externally in the ratio
2
:
3
2:3
2
:
3
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