\title	{Imagen del vector 3D II}
\author	{XIAO Gang}
\email	{xiao@unice.fr}
\format	{html}
\computeanswer{yes}

\integer{range=9}
\integer{x1=random(-\range..\range)}
\integer{y1=random(-\range..\range)}
\integer{z1=random(-\range..\range)}
\integer{x2=random(-\range..\range)}
\integer{y2=random(-\range..\range)}
\integer{z2=random(-\range..\range)}
\integer{x3=random(-\range..\range)}
\integer{y3=random(-\range..\range)}
\integer{z3=random(-\range..\range)}
\integer{x4=random(-\range..\range)}
\integer{y4=random(-\range..\range)}
\integer{z4=random(-\range..\range)}
\real{x5=((\x4)*(-(\x1)+(\x2)+(\x3))+(\y4)*(\x1-(\x2)+(\x3))+(\z4)*(\x1+(\x2)-(\x3)))/2}
\real{y5=((\x4)*(-(\y1)+(\y2)+(\y3))+(\y4)*(\y1-(\y2)+(\y3))+(\z4)*(\y1+(\y2)-(\y3)))/2}
\real{z5=((\x4)*(-(\z1)+(\z2)+(\z3))+(\y4)*(\z1-(\z2)+(\z3))+(\z4)*(\z1+(\z2)-(\z3)))/2}

\statement{Sea \(f: \RR^3\rightarrow \RR^3) una aplicación lineal, con
	\(f(0,1,1)=(\x1,\y1,\z1)), \(f(1,0,1)=(\x2,\y2,\z2)),
	\(f(1,1,0)=(\x3,\y3,\z3)).
 Calcular \(f(v)), donde \(v=(\x4,\y4,\z4)\in \RR^3).\par
 Para dar tu respuesta, escribe \(f(v)=(a,b,c)).}

\answer{a=\x5}
\answer{b=\y5}
\answer{c=\z5}
