Let L be the line given by x=2-t, y=1+t, z=1+2t. L intersects the plane 2x+y-z=1 at the point P=(1,2


Question: Let L be the line given by \(x=2-t\), \(y=1+t\), \(z=1+2t\). L intersects the plane \(2x+y-z=1\) at the point \(P=\left( 1,2,3 \right)\). Find the parametric equations for the line through P which lies in the plane and is perpendicular to L.

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