%@AUTEUR:Guillaume Connan
prologues:=2;

verbatimtex
%&latex
\documentclass{article}
\begin{document}
etex

input courbes;
input geo;

color vert_e, turquoise, orange, vert_fonce, rose, vert_mer, bleu_ciel, or, rouge_v,bleu_m,bleu,bleu_f;
vert_e:=(0,0.790002,0.340007);
turquoise:=(0.250999,0.878399,0.815699);
orange:=(0.589999,0.269997,0.080004);
vert_fonce:=(0,1.4*0.392193,0);
rose:=(1.0, 0.752907, 0.796106);
bleu_ciel:=(1.2*0.529405,1.2*0.807794,1);%.2*0.921598);
or:=(1,0.843104,0);
rouge_v:=(0.829997,0.099994,0.119999);
bleu_m:=(0.7*0.529405,0.7*0.807794,0.7);%*0.921598);
bleu_f:=(0.211762,0.3231176,0.3686392);
bleu:=(0.529405,0.807794,1);

% MULTIPLICATION PAR i

beginfig(1);
  drawarrow (-5cm,0)--(5cm,0);
  drawarrow(0,-4cm)--(0,4cm);
  drawarrow(0,0)--(3cm,2cm) withpen pencircle scaled 2bp;
  drawarrow(0,0)--(0,1cm);
  drawarrow(0,0)--(1cm,0);
  drawarrow(0,0)--(-3cm,-2cm) withpen pencircle scaled 2bp dashed evenly  withcolor bleu_m;
  drawarrow(0,0)--(-2cm,3cm) withpen pencircle scaled 2bp dashed withdots scaled 0.5 withcolor red;
  
  label.llft(btex 0 etex,(0,-0.2cm));
  label.urt(btex $M(3\ ,\ 2)$ etex,(3cm,2cm));
  label.bot(btex $\overrightarrow{e_1}$ etex,(0.5cm,0));
  label.ulft(btex $\overrightarrow{e_2}$ etex,(0,0.7cm));
  label.llft(btex $M'(-3\ ,\ -2)$ etex,(-3cm,-2cm));
  label.top(btex $M''(-2\ ,\ 3)$ etex,(-2cm,3cm));
  draw fullcircle scaled 7.212cm dashed withdots;
  mark_rt_angle((3,2),(0,0),(-2,3))
endfig;
end