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Unformatted text preview: Math 1312 Fall 2008 Calculus II Final Exam Monday, December 15, 6:30 pm  9:30 pm Your name (please print): Instructions: This is a closed book, closed notes exam. Use of calculators is not permitted. You must justify all of your answers to receive credit. Notation is important, and points will be deducted for incorrect use. Please do all of your work on the paper provided. The Honor Code requires that you neither give nor receive any aid on this exam. Please indicate that you have read and understood these guidelines by signing your name in the space provided: Pledged: Do not write below this line Problem 1 2 3 4 5 6 7 8 9 Points 15 10 6 8 10 10 9 16 9 Score Problem 10 11 12 13 14 15 Points 9 5 10 8 15 10 Score Total: 1. Let a = ( 1 , 3 , 2 ) and b = ( 12 , 2 , 3 ) . a. Compute 3 a 2 b . b. Compute  a + b  . c. Compute b a . d. Are a and b parallel, perpendicular, or neither? e. Find a vector of length 5 that points in the same direction as a . 2. Consider the three points P (2...
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This note was uploaded on 02/29/2012 for the course MATH 1312 taught by Professor Ryandaileda during the Fall '11 term at Trinity University.
 Fall '11
 RyanDaileda
 Calculus

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