2313f10-mid1-redux

# 2313f10-mid1-redux - SIGN HERE Problem Points Score 1 25 2...

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NAME : MAC 2313 — Fall 2010 September 21, 2010 Midterm 1 Redux Instructions: This is a closed book exam and no notes are allowed. You are not to provide or receive help from any outside source during the exam except that you may ask the instructor for clariFcation of a problem. You have 50 minutes and you should attempt all problems. Print your name in the space provided. Sign the ±ERPA release on the next page only if you wish your exam returned in lecture. Calculators or other computing devices are not allowed. Except where indicated, you must show all work and give a reason (or reasons) for your answer. A correct answer with incorrect work will be considered wrong.

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FERPA RELEASE: Because of privacy concerns, I am not allowed to return your graded exams in lecture without your permission. If you want me to return yourexaminlecture ,p leases

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Unformatted text preview: SIGN HERE: . Problem Points Score 1 25 2 25 3 25 4 25 Total 100 Relax! This exam is riddle-free. 1 1. (25) This question has fve parts. Suppose that a and b are nonzero vectors. Use dot and cross product notation to describe the Following. On this problem only, you need not show your work. a. The scalar projection oF a onto b . b. The vector projection oF a onto b . c. A unit vector orthogonal to both a and b . d. A vector oF length | a | in the direction oF b . e. The area oF the parallelogram determined by a and b . 2 2. (25) Find the distance from the point (1 , 1 , 3) to the plane de±ned by 3 x + 2 y + 6 z = 6. 3 3. (25) Find an equation for the line in which the planes 3 x-6 y-2 z = 15 and 2 x + y-2 z = 5 intersect. 4 4. (25) Determine if the two lines below are parallel, intersecting, or skew. If the lines intersect, Fnd the point of intersection. L 1 : x = 3 t , y = 4-t , z = 2 t L 2 : x = 7-t , y = 2 t + 5, z =-3 t 5 6...
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2313f10-mid1-redux - SIGN HERE Problem Points Score 1 25 2...

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