\title{Dados productos escalares}
\language{en}
\range{-5..5}
\author{Gang XIAO}
\email{xiao@unice.fr}
\computeanswer{no}
\format{html}
\precision{10000}

\integer{mid=5}
\integer{range=\mid*2}
\integer{a1=2*random(-\mid..\mid-2)+1}
\integer{b1=2*random(-\mid..\mid)}
\integer{c1=2*random(-\mid..\mid)}
\integer{a2=random(-\range..\range)}
\integer{b2=2*random(-\mid..\mid-2)+1}
\integer{c2=2*random(-\mid..\mid)}
\integer{a3=random(-\range..\range)}
\integer{b3=random(-\range..\range)}
\integer{c3=2*random(-\mid..\mid-2)+1}
\integer{a=random(1..\range)*random(-1,1)}
\integer{b=random(1..\range)*random(-1,1)}
\integer{c=random(1..\range)*random(-1,1)}
\integer{A=\a1*\a+\b1*\b+\c1*\c}
\integer{B=\a2*\a+\b2*\b+\c2*\c}
\integer{C=\a3*\a+\b3*\b+\c3*\c}

\statement{Sean
<p><center>
v<sub>1</sub> = (\a1,\b1,\c1) ,
v<sub>2</sub> = (\a2,\b2,\c2) ,
v<sub>3</sub> = (\a3,\b3,\c3)
</center> <p>
tres vectores del espacio. Hallar el vector v que verifica las siguientes igualdades de productos escalares:
<p><center>
	&lt;v,v<sub>1</sub>&gt; = \A ,
	&lt;v,v<sub>2</sub>&gt; = \B ,
	&lt;v,v<sub>3</sub>&gt; = \C .
</center> <p>
}

\answer{v}{\a,\b,\c}{type=vector}