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previous math 226 exam

previous math 226 exam - (20 points Find a vector equation...

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Spring 2007 Math 226 EXAM 1 Prof. M. Ziane Please Print: Last name: First Name : Signature: ID# INSTRUCTIONS: 1. NO CALCULATORS ALLOWED AND NO CHEATING PERMITTED. 2. Clearly indicate your final answers by circling them. 3. Show all your work. Unsupported answers will not receive credit. 4. In general you do not need to “simplify” your answers, but you will need to evaluate simple numbers. 5. Point values are labeled and there are 100 total points possible. Good luck! February 12, 2007 1
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Problem 1. (20 points) Find the area of the parallelogram with vertices A (1 , 2 , 3) , B (1 , 3 , 6) , C (3 , 8 , 6) , and D (3 , 7 , 3) . Problem 2. (20 points) Find a vector equation and parametric equations for the
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Unformatted text preview: (20 points) Find a vector equation and parametric equations for the line through the points (-2 , 3 , 5) and (1 , , 5). 2 Problem 3 (20 points) Find an equation of the plane through the points (3 ,-1 , 2) , (8 , 2 , 4) , and (-1 ,-2 ,-3) . Problem 4. (20 points)Find the distance between the point (2 , 8 , 5) and the plane x-2 y-2 z = 1 . 3 Problem 5. (10 points) Reparametrize the curve v r ( t ) = 3 sin t v i + 4 t v j + 3 cos t v k with respect to arc length measured from the point where t = 0 in the direction of increasing t. 4...
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