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# ps2 - 18.02 Problem Set 2 Due Thursday 12:45 pm in 2-106...

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18.02 Problem Set 2 Due Thursday 9/18/08, 12:45 pm in 2-106. Part A (15 points) Hand in the underlined problems only; the others are for more practice. Lecture 4. Thu Sept. 11 Theorems about square systems. Equations of planes Read: Notes M.4 (pp. 9–10); Book pp. 798–800 Work: 1H/ 3abc , 7; 12.4/ 23, 32, 50 , 51; 1E/ 1abcd e, 2 , 6 . Lecture 5. Fri Sept. 12 Parametric equations for lines and curves Read: 12.4, pp. 796–797; 10.4 to top of p. 647 Work: 1E/ 3abc , 4 , 5; 1I/ 1, 3ab d, 5 . Lecture 6. Tue Sept. 16 Velocity, acceleration. Kepler’s second law Read: 12.5 to p. 808; (7) on p. 818; Notes K. Work: 12.5/ 3, 4, 33; 1J/ 1, 2 , 3, 4 , 5, 6 , 9 , 10 ; 1K/ 3 . Part B (12 points) Directions: Attempt to solve each part of each problem yourself. If you collaborate, solutions must be written up independently. It is illegal to consult materials from previous semesters. With each problem is the day it can be done. Write the names of all the people you consulted or with whom you collaborated and the resources you used. Problem 1. (Friday, 6 points: 3+3) Consider the four points A : ( - 3 , - 1 , 1), B : (5 , 1 , 7), C : ( - 1 , 5 , - 1), D : (3 , 2 , - 2). Find
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