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Assignment 1 - Vectors Review

# Assignment 1 - Vectors Review - CHEE 3363 Fluid Mechanics...

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CHEE 3363 - Fluid Mechanics Fall, 2010 Assignment 1 Due: Wednesday, September 1, 2009 Problems based on lecture notes 1. Find the component of the velocity vector 2i 3 j 6k v in the direction defined by the vector 3i 4 j 9k A . 2. If work is defined by Work = (Force component in direction of motion)*(Distance moved), determine the work done in moving an object along a vector 2 j 5k ( ) r ft if the applied force is j k ( ) f F lb . 3. Given a velocity field v in cylindrical coordinates, i.e., k, r r z v v e v e v determine ( , , ) ( , , ) x x r z y y r z v v v v v v v v v v For the velocity vector 2e k r v , determine the rectangular components ,, x y z v v v . 4. Check the relations in the notes that relate the base unit vectors in spherical coordinates with the base vectors in rectangular coordinates. Correct these as necessary and use these relations to determine ( , , ) ( , , ) ( , , ) x x r y y r z z r v v v v v v v v v v v v v v v

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5. Find the shortest distance between the point (1,2,-1) and the plane defined by the vectors 2i 3 j 6k and i 5 j 3k AB 6.
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Assignment 1 - Vectors Review - CHEE 3363 Fluid Mechanics...

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