MATH 230 Midterm: Test 1 spring 2011
15 Feb 2019
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Put a check mark next to your instructor"s name and section: Instructions: read each problem carefully, write legibly, show all your work on these sheets. Feel free to use the opposite side: this exam has 10 pages, and 7 problems. Please make sure that all pages are included: you may not use books, notes or calculators. Question 1. (20 points) given the three points p (1, 0, 0), q(0, 1, 1), and r( 1, 1, 0), Nd: (a) the cosine of the angle between the vectors ~p q and ~p r. (b) the projection of ~p q onto ~p r. (c) the area of the parallelogram formed by the vectors ~p q and ~p r. Circle the correct answer. (a) if ~u ~v = 0 then ~u = 0 or ~v = 0. False (b) assume ~u and ~v are non-zero vectors. If ~u ~v = ~0 then ~u is parallel to ~v.
