HW06-solutions - moore (jwm2685) HW06 gilbert (55485) 1...

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Unformatted text preview: moore (jwm2685) HW06 gilbert (55485) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Which, if any, of the following A. QP , B. PQ, are representations of vectors when P, Q are points in 3-space? 1. B only 2. A only correct 3. both of them 4. neither of them Explanation: A. TRUE: QP is the displacement vector having initial point P and terminal point Q . B. FALSE: PQ is the line segment from P to Q . keywords: vectors, scalars, T/F, line segment, displacement vector, length 002 10.0 points When u , v are the displacement vectors u = AP , v = AC , determined by the parallelogram A B C P Q R S O express AQ in terms of u and v . 1. AQ = 1 2 v u 2. AQ = 1 2 u 3. AQ = 1 2 u + v 4. AQ = 1 2 v 5. AQ = 1 2 u v 6. AQ = u + 1 2 v correct Explanation: By the parallelogram law for the addition of vectors we see that AQ = u + 1 2 v . 003 10.0 points Find the vector v having a representation by the directed line segment AB with respect to points A (2 , 2) and B ( 4 , 3)....
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HW06-solutions - moore (jwm2685) HW06 gilbert (55485) 1...

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