MATH 215 Midterm: exam1F12

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31 Jan 2019
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This is a 90 minutes closed book exam. This examination booklet contains 4 problems, on 14 sheets of paper including this front cover. The next to last page is a list of formulas which you might nd useful. The last page is blank and is to be used as scratch paper. Feel free to tear these last two pages away from the rest of the exam, but be careful to tear only those pages. Make sure your nal answer is clearly written in the corresponding answer box. Let p = (2, 1, 0), q = (1, 1, 1) and r = (0, 1, 3) be three points in r3. (1) find the cosine of the angle between. 3 (3) find the area of the triangle with vertices p, q, r. Your answer: (4) determine the equation of the plane p through the points p, q, r in the form ax + by + cz + d = 0.