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Unformatted text preview: 18.02 Problem Set 2 Due Thursday, February 26 at 1:00 PM in 2106 Reading The material for this problem set is covered in sections TA and LS of the 18.02 Notes, Exercises and Solutions , and sections 17.1, 17.2, 17.4, 19.2, 19.3, 19.7 of Simmons, Calculus with Analytic Geometry, 2nd Edition . Part A (10 points) Exercises from the Supplementary Notes and Exercises (20 problems, 1/2 point each): (1I) : 1I1, 1I2, 1I3, 1I5 (1J) : 1J1, 1J4, 1J7, 1J9 (2A) : 2A1, 2A2, 2A3, 2A4, 2A5 (2B) : 2B1, 2B2, 2B3, 2B5, 2B9 (2G) : 2G1(c), 2G4 Part B (25 points) 1. (5 points) Consider the four points A = (1 , 1 , 1), B = (0 , 1 , 1), C = (1 , 1 , 0), and D = ( 2 , , 3). Find the distance between the lines ( AB ) and ( CD ), that is, the distance between the closest points on these two lines, using two different methods: (a) Find a pair of planes that are parallel to both lines, with the first plane containing the line ( AB ) and the second containing the line ( CD...
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 Spring '08
 Auroux

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