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  3. (a) show that the lines l? : x = -2 2t; y = 1 +...

(a) Show that the lines L? : x = -2 2t; y = 1 +...

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Calculus

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(a) Show that the lines L? : x = -2 2t; y = 1 + 4t; z 2 t and L? :x=2-4t; y = 3 + 8t; z = 1+ 2t are parallel. (b) Find the equation of the plane P?that contains these lines. (c) Find the equation of the plane P? that is perpendicularto P? and contains the points (-2, 1, 2) and (2, 3, 1). What is the equation of the linethat is the intersection of the planes P? and P??-

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Transcribed Image Text

(a) Show that the lines L? : x = -2 2t; y = 1 + 4t; z 2 t and L? :x=2-4t; y = 3 + 8t; z = 1+ 2t are parallel. (b) Find the equation of the plane P?that contains these lines. (c) Find the equation of the plane P? that is perpendicularto P? and contains the points (-2, 1, 2) and (2, 3, 1). What is the equation of the linethat is the intersection of the planes P? and P??-

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