MATH 21A Midterm: MATH 21A Harvard 21a Fall 13Practice6
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Mwf 10 gijs heuts: start by printing your name in the above box and check your section in the box to the left. Mwf 10 adrian zahariuc: do not detach pages from this exam packet. Tth 11:30 francesco cavazzani 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. For a moving frame ( ~t , ~n, ~b), (remember that ~t is the unit tangent vector, ~n is the normal vector and ~b is the binormal vector), one always has. For any three points p, q, r in space, ~p q ~p r = ~qp ~rp. The triangle de ned by the three points ( 1, 0, 2), ( 4, 2, 1), (1, 1, 2) has a right angle.
