Construction géométrique

Sommes de vecteurs

Exercice corrigé: Construction géométrique - Sommes de vecteurs

Construire les points

tels que: $\displaystyle \bullet\ \ \overrightarrow{AD}=\overrightarrow{AB}+\overrightarro... ...et\ \ \overrightarrow{AE}=2\overrightarrow{BC}+\dfrac{1}{2}\overrightarrow{AC}$

$\begin{pspicture}(0.5,0)(5,4) \rput(2,3){\large$\times $}\rput(1.7,3.2){$A$} \... ...ut(0.7,0.8){$B$} \rput(4,1){\large$\times $}\rput(4.3,1.2){$C$} \end{pspicture}$

Construire les points

tels que: $\displaystyle \bullet\ \ \overrightarrow{CF}=-\overrightarrow{AD}+\overrightarr... ...rightarrow{DG}=\dfrac{1}{2}\overrightarrow{BA}-\dfrac{3}{2}\overrightarrow{BD}$

$\begin{pspicture}(0,0)(5,5)\rput(3,4){\large$\times $}\rput(2.7,4.2){$A$} \rp... ...3,2.5){$D$} \rput(2,-1){\large$\times $}\rput(1.6,-0.9){$C$} % \end{pspicture}$

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