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Mathematics
Mathematics
Problem
Let
O
A
C
B
OACB
O
A
C
B
be a parallelogram with
O
O
O
at the origin and
O
C
OC
O
C
a diagonal. Let
D
D
D
be the midpoint of
O
A
OA
O
A
. Using vector methods prove that
B
D
BD
B
D
and
C
O
CO
C
O
intersect in the same ratio. Determine this ratio.
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