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2. [15 pts] a) Find parametric equations for the line L passing through the points P{2,l, 2} and Q{4, 2,1}. b) Find the point where

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2. [15 pts] a) Find parametric equations for the line L passing through the points P{2,l, 2} and Q{4, 2,1}. b) Find the point where the line L {as dened above) intersects the plane 2x+ 3 y + 42 = 36. c] Find the area of the triangle PQR in R3 with vertices at the points Pf2,l,2}, Q(4,2,l) , and R(4,0, 2}. d) Find the distance from the point R{4,0,2} to the line passing through the points P{2,l,2} and Q{4,2,1}. e] Find the distance from the point R(4,0, 2) to the plane 2x+ 3y + 4- =36

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