MATH 21A Midterm: MATH 21A Harvard 21a Fall 13Solution
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Tth 10 oliver knill: 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. Except for problems 1-3, we need to see details of your computation: no notes, books, calculators, computers, or other electronic aids can be allowed. Tth 10 francesco cavazzani: you have 180 minutes time to complete your. For any two vectors ~u and ~v we have |~u| |~v| + |~v ~u|. The grid curves of a parametric surface are always perpendicular to each other at any point on the surface. The triple scalar product ~u (~v ~w) of ~u = h1, 0, 0i, ~v = h0, 1, 0i and. ~w = h2, 1, 1i is equal to 1.
