(1) (a) Show that the lines L1::1; = 2 2t;y =1+4t;z = 2 t and L2: so = 2 4t; y = 3 + 8t;
(1) (a) Show that the lines L1::1; = 2 2t;y =1+4t;z = 2 t and L2: so = 2 4t; y = 3 + 8t; 2: = 1 + 215 are parallel. (b) Find the equation of the plane P1 that contains these lines. (c) Find the equation of the plane P2 that is perpendicular to P1 and contains the points (2, 1, 2) and (2, 3, 1). What is the equation of the line that is the intersection of the planes P1 and P2
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