\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(O(0,\ 0)\) and \(M(3,\ -2)\). The point \(M'\) is the image of \(M\) by the homothety of center \(O\) and ratio \(k=2\) so that \(2\,\Vect{OM} = \Vect{OM'}\).
Find the coordinates of \(M'\).
\(M' = (\)
,
\()\)