MATH 21A Midterm: Math 21 a Midterm I 6 Fall 2009
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Answers which are illeg- ible for the grader cannot be given credit: show your work. Except for problems 1-2 and 8, we need to see details of your compu- tation: no notes, books, calculators, computers, or other electronic aids can be allowed, you have 90 minutes time to complete your work. Mark for each of the 20 questions the correct letter. The length of the vector h4, 2, 4i is an integer. Any three distinct points a, b, c in space determine a unique plane. For any two non-intersecting lines l, k, there are two parallel planes , whose distance d( , ) is equal to the distance d(l, k) such that l is in and k is in . If z f (x, y) = g(x, y, z) then the graph of f (x, y) is a level surface g(x, y, z) = c of g(x, y, z).