\begin{exercice*}On considère le graphique ci-dessous.


\begin{center}
	\psset{xunit=1.0cm,yunit=1.0cm}
\begin{pspicture*}(-0.42,1.76)(7.16,7.1)
\psgrid[subgriddiv=0,gridlabels=0,gridcolor=CyanTikz40](0,0)(-0.42,1.76)(7.16,7.1)
\psset{xunit=1.0cm,yunit=1.0cm,algebraic=true,dotstyle=o,dotsize=3pt 0,linewidth=0.8pt,arrowsize=3pt 2,arrowinset=0.25}
\psline[linecolor=A1,linewidth=1.2pt]{->}(2,3)(3,3)
\psline[linecolor=B1,linewidth=1.2pt]{->}(2,4)(1,5)
\rput[tl](2.32,2.84){$\vv{u}$}
\rput[tl](1.15,4.48){$\vv{v}$}
\psdots[dotstyle=*](6,6)
\rput[bl](6.08,6.12){$B$}
\psdots[dotstyle=*](5,4)
\rput[bl](5.08,4.12){$A$}
\psdots[dotstyle=*](3,4)
\rput[bl](3.08,4.12){$C$}
\end{pspicture*}
\end{center}

 Donner la décomposition des vecteurs $\vv{AB}$, $\vv{AC}$ et $\vv{BC}$ selon les vecteurs  $\vv{u}$ et $\vv{v}$.
\begin{corrige}
$\vv{AB}=3\vv{u}+2\vv{v}$

$\vv{AC}=-2\vv{u}$

$\vv{BC}=-5\vv{u}-2\vv{v}$

\end{corrige}
\end{exercice*}
