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final_f08

# final_f08 - Math 1312 Fall 2008 Calculus II Final Exam...

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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 , 1 , 5), Q ( - 1 , 3 , 4) and R (3 , 0 , 6). Let T denote the triangle with vertices P , Q , and R .

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final_f08 - Math 1312 Fall 2008 Calculus II Final Exam...

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