MATH 550
Professor Girardi
Quiz 2
Due the week of 30 January 2000.

1. Find the equation of the plane that contains the 3 points: (0,1,0) and (2,1,-3) and (1, -1,4)
   Your solution should be of the form: ax + by + cz = d .
2. This problem is a variation of problem 9 from Chapter 1 Review (pg. 75).
   Informal summary 1.6 uses vector notation to describe (the boundary of) a circle with radius rho, center R_0, in the plane determined by the orthonormal vectors e_1 and e_2.
   Use vector notation to describe the boundary and interior of a circle with radius rho, center R_0, in the plane determined by the orthonormal vectors e_1 and e_2. Your solution should be of the form: R (r, theta) = some mess
   where ? <= r <= ? and ? <= theta <= ?.
3. Problem 34 from Chapter 1 Review (pg 78) .
   Remark: do this problem using vector methods-&-thought showing your work ... and not by using an HP-calculator-&-nonthought just pushing buttons.
4. Problem 20 from section 1.2 (pg 37)
   Hint: see example 10 pages 34 - 35.
   Hint: the rock (whose location is given in the previous problem) stays put while an iceberg would float with the current.

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