\title{Perpendicular a dos vectores}
\language{en}
\range{-5..5}
\author{Gang XIAO}
\email{xiao@unice.fr}
\computeanswer{no}
\format{html}
\precision{10000}

\integer{mid=8}
\integer{range=\mid*2}
\integer{a1=2*random(-\mid..\mid-2)+1}
\integer{b1=2*random(-\mid..\mid)}
\integer{c1=random(-\range..\range)}
\integer{a2=random(-\range..\range)}
\integer{b2=2*random(-\mid..\mid-2)+1}
\integer{c2=random(-\range..\range)}
\integer{v1=\b1*\c2-\c1*\b2}
\integer{v2=\c1*\a2-\a1*\c2}
\integer{v3=\a1*\b2-\b1*\a2}
\integer{c=random(1..2*\range)*random(-1,1)}
\real{ratio=\c/\v3}
\real{a=\v1*\ratio}
\real{b=\v2*\ratio}

\statement{Sean
<p><center>
v<sub>1</sub> = (\a1,\b1,\c1) ,
v<sub>2</sub> = (\a2,\b2,\c2)
</center> <p>
dos vectores. Tenemos un vector v=(a,b,\c) que es perpendicular   v<sub>1</sub> y v<sub>2</sub>. ¿Cuál es el vector
v&nbsp;?
}

\answer{a}{\a}
\answer{b}{\b}

\hint{The vector product of v<sub>1</sub> and v<sub>2</sub> is
perpendicular to both v<sub>1</sub> and v<sub>2</sub>.
}