Question: Problem 7: (Plane and Line)(20 points) Find equations for the following planes:(a) Find the point of intersection of the lines x=2t+1,y=3t+2,z=4t+3, and x=s+2,y=2s+4,z=-4s-1, and then

Problem 7: (Plane and Line)(20 points) Find equations for the following planes:(a) Find the point of intersection of the lines x=2t+1,y=3t+2,z=4t+3, and x=s+2,y=2s+4,z=-4s-1, and then find the plane determined by these lines.(b) Find a plane through the points P1:(1,2,3),P2:(3,2,1) and perpendicular to the plane4x-y+2z=7

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