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Phys351-S08-Assignment 1

Phys351-S08-Assignment 1 - Assignment 1 Due Tuesday Jan...

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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 d t = 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 0 ) · ˆ n = 0 . 3. Determine the distance from a point given by ~r 0 (2 , 3 , 4) to a plane a x + b y + c z + d = 0, where a = 2 , b = 5 , c = 0 , d = 3. Hint: point Q ( - a d , 0 , 0 ) lies on the plane. The projection of the line joining ~r 0 and Q on the normal should give the distance.
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