Find a vector perpendicular to $Oy$ axis. Knowing that $v\cdot v_1=8$ and $v\cdot v_2=-3$, where $v_1=(3,1,-2)$ and $v_2=(-1,1,1)$
Calculate a vector that is perpendicular to Oy axis.
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linear-algebra
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0Yes, but I don´t understand your commentaire. Was I rude with someone here. If I was, I´m sorry about it. – 2012-07-28
1 Answers
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ley $v=(x,y,z)$ perpendicular to $OY$ axis means that $v*(0,1,0)=0$ $v*v_1=3*x+1*y-2*z=8$
$v*v_2=-1*x+1*y+1*z=-3$
$v*(0,1,0)=0 -->y=0$
so $3*x-2*z=8$
$-x+z=-3$ from second $z=-3+x$ put into first one $3*x-2*(-3+x)=8$
$x=2$ and $z=-1$ so we have $v=(2,0,-1)$
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0Thanks dato. I will consider this in the future. – 2012-07-28