MATH 230 Midterm: Test 1 spring 2010

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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 12 pages, and 9 problems. Please make sure that all pages are included: you may not use books, notes or calculators. Question 1. (24 points) given the four points p (1, 0, 0), q(0, 1, 1), r( 1, 1, 0) and. P r|: the cosine of the angle between the vectors. Page 3 of 12: the vector projection of. P r: the area of the parallelogram formed by the vectors. P r: the volume of the parallelepiped determined by the vectors. Question 2. (12 points) find the equation of the plane that contains both the point (0, 1, 1) and the line hx, y, zi = h1, 2, 1i + th1, 1, 1i.