MATH 230 Final: Final fall 2013

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Instructions: read each problem carefully, write legibly, show all your work on these sheets, make sure that your nal answer is clearly indicated. If two answers are presented then the average of the points for each answer will be given: this exam has ?? pages, and 9 problems. Before starting the exam, please check that your copy contains all of them and obtain a new copy of the exam immediately if it does not: you may not use books, notes or calculators. Good luck! (2 points) put a check mark next to your section number, and write your netid in the upper right corner of this page! Do not write your name on this exam! Part a consider the following statements for three-dimensional space. (a) two vectors which are parallel must have their dot product equal to zero. False (b) two lines which are not parallel must intersect.