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Unformatted text preview: Assignment 1 - Due Tuesday, Jan. 22nd Chapter 1. During first week read chapter one though the discussion on Dirac δ-function. The material covered in this chapter is mostly from MATH 263 and/or PHYS 301 and a good understanding of it will be considered prerequisite for this course. However, we will still spend about two weeks reviewing of this material. Vector algebra and calculus: For some of these problems you may need to go back to your calculus books. 1. Describe a straight line in vector notation that is directed along a vector (1 , 2 , 1) and passes through the point (1 , 1 , 1). Hint: you may use d~r dt = ˆ n . 2. What is the equation of a plane that has a direction cosine of ( 1 3 , 2 3 , 2 3 ) and passes through the point (1 , 1 , 1)? Hint: ( ~r- ~r ) · ˆ n = 0 . 3. Determine the distance from a point given by ~r ≡ (2 , 3 , 4) to a plane ax + by + cz + d = 0, where a = 2 ,b = 5 ,c = 0 ,d = 3. Hint: point Q ≡ (- a d , , ) lies on the plane. The projection of the line joining...
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This note was uploaded on 01/28/2010 for the course PHYS 351 taught by Professor Gangopashyaya during the Spring '09 term at Loyola Chicago.
- Spring '09