SOLUTION: Determine the equation of the line that passes through the point A(1,0,2) and intersects the line r=(-2,3,4)+s(1,1,2) at a right angle.

Question 462787: Determine the equation of the line that passes through the point A(1,0,2) and intersects the line r=(-2,3,4)+s(1,1,2) at a right angle.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The given line r=(-2,3,4)+s(1,1,2) is symmetric form
. The direction vector is thus given by <1,1,2>. A direction vector of the line perpendicular to this is <1,1,-1>. The symmetric equation of the perpendicular equation is thus
, or R = (1,0,2) + t(1,1,-1).
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