MATH 21A Midterm: MATH 21A Harvard 21a Fall 13Practice3
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Tth 11:30 francesco cavazzani: start by printing your name in the above box and check your section in the box to the left, do not detach pages from this exam packet or unstaple the packet, please write neatly. Answers which are illeg- ible for the grader cannot be given credit: show 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 which passes through these points. 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).
