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Mathematics
Problem
Let
p
\mathbf{p}
p
be the position vector of orthocentre and
g
\mathbf{g}
g
is the position vector of the centroid of
Δ
A
B
C
\Delta ABC
Δ
A
B
C
, where circumcentre is the origin. If
p
=
k
g
\mathbf{p} = k\mathbf{g}
p
=
k
g
, then the value of
k
k
k
is
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