Intersection of a line and a plane

Example:[br]Intersect the line g: [math]X = \left( \begin{array}{c} 0\\ 1\\2 \end{array} \right) + t\cdot \left( \begin{array}{c} -1\\ -2\\1 \end{array} \right) [/math] with the plane ε: x + y + z = 1 and calculate the coordinates of the intersection point S.
Andreas Lindner
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Information: Intersection of a line and a plane