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Assignment_1 - chapter 6 Section 1.3 pages 61-65 Please...

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Mathematics 222 Spring 2007 Assignment 1 due Friday January 26 In addition to the problems listed under “please hand in” , you should also turn in extra problems EP 1) and parts abc of EP 2). The “also consider” problems should not be turned in, but may show up on exams. Please read sections 1.2, 1.3, and 1.5 of Chapter 1 and at least the first section of Chapter 2. Much of chapter 1 is likely familiar from your previous courses, though some of the notation may be a bit different. Please focus on the different ways of describing lines and planes as well as how to do basic geometry with them. Make sure you understand the geometric idea of the cross product. You needn’t worry about cylindrical and spherical coordinates for now. But if they are unfamiliar, be prepared to come back to section 1.4 when we study change of variables (for integrals) to these coordinate systems in
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Unformatted text preview: chapter 6. Section 1.3, pages 61-65: Please hand in: 24 and 32. Also consider: 8 and 28. You needn’t complete, but think about how you would approach: 21 and 37. Review Exercises, pages 88-93: Please hand in: 12. Also consider: 21 and 32. You needn’t complete, but think about how you would approach: 41 and 47. EP 1) Intersection of Planes: Find a unit vector parallel to the line of intersection of the planes given by the equations x-2 y + 5 z = 2 and 3 x-y + 5 z = 3. EP 2) Three Points: Given the points P = (1 , 2 , 3), Q = (3 , 5 , 2), and R = (2 , 2 , 3), find: (a) A unit vector perpendicular to the plane containing P , Q , and R . (b) The angle between PQ and PR . (c) The area of the triangle PQR . Also consider part (d) of extra problem 2 below: (d) The distance from R to the line through P and Q . 2...
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