ABCDEF is a regular hexagon. Show that : \[ \overrightarrow{\mathrm...

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ABCDEF is a regular hexagon. Show that :
\[
\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AE}}+\overrightarrow{\mathrm{AF}}=3 \overrightarrow{\mathrm{AD}}
\]
where \( \mathrm{O} \) is the centre of the hexagon.
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