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2. (15 points) Find the equation of the plane passing the point A=(1,2,3), and parallel with two lines L1 and L2. The line L1 passes

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2. (15 points) Find the equation of the plane passing the point A=(1,2,3), and parallel with two lines L1 and L2. The line L1 passes through two points B=(1,3,0) and C=(1,2,1). The line L2 is given by x=3t+1y=t+2z=1 3. (20 points) Find the distance from the line L1 x=2t+2y=13tz=3+2t to the line L2, which is the intersection between plane 2x+2yz=1 and the plane x+2z=1. (Hint: One can find the equation of the intersection line by solving the two equations of the planes together with the substitution x=t.)

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