find parametric equations for the line through the point (0,1,2) that is parallel to the plane x+y+z=2 and is perpendicular to the lane x=1+t, y=1-t, z=2t.
Does anybody know how to do this type of problems?

Question

find parametric equations for the line through the point (0,1,2) that is parallel to the plane x+y+z=2 and is perpendicular to the lane x=1+t, y=1-t, z=2t. 
Does anybody know how to do this type of problems?

anonymous · Answer

My web pages may help: http://jtaylor1142001.net/calcjat/Solutions/VLines/Line/Point/Parallel/Vector/LPtParlVector_Layers.htm and http://jtaylor1142001.net/calcjat/Solutions/VLines/Line/Point/Plane/Perpendicular/PtPlPerp_Layers.htm.