Find the line that is vertical to the plane 4x+y-3z=1 and passes through the point A(x0,y0,z0) of the plane so that z0=7.
Could anyone help me with that exercise???
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Originally Posted by rikelda91 Find the line that is vertical to the plane 4x+y-3z=1 and passes through the point A(x0,y0,z0) of the plane so that z0=7. I think that there is a translation problem here.
By vertical to the plane you surely mean perpendicular to the plane. Do you not?
And the line contains
Such a line looks like
You can do a bit more than that. If lies on the plane 4x+ y- 3z= 1 then [tex]4x_0+ y_0- 21= 1 so that and you can write the line as , , and .
This is a strange problem.
Do you have the answer? . .
no I don't have the answer :/ ..actually I meant perpendicular to the plane...
the line equation should be l(t)=a+tu (u is a parallel vector to the line). So l(t)=(x0,22-4x0,7) +t(4,1,-3)
Last edited by rikelda91; Aug 20th 2013 at 07:26 AM.
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