Summary: Math 2210 Practice Test 1,
Test is Thursday Feb. 10th in class.
You are permitted a single 81
× 11 sheet of notes, notes
may be on both sides. There are six sections on this test each
of which has three problems. Hand in one problem from each
section. If multiple problems are handed in I will pick which
one to grade based on which looks easiest to grade. The test
is graded out of 115 points - be sure the problems you pick
total enough to obtain the grade you require.
1 Dot and Cross Products
Problem 1 (10pt) Suppose that r(t) = (1, t, t2
s(t) = (t2
- t, 1 - t2
, t - 1) then compute and simplify
r(t)·s(t) and explain what the result means geometrically.
Problem 2 (15pt) Find the volume of the parallelepiped