HW06-solutions - zakaria (mmz255) – HW06 – gilbert –...

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Unformatted text preview: zakaria (mmz255) – 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. PQ, B. − −−→ QP , are representations of vectors when P, Q are points in 3-space? 1. both of them 2. A only 3. neither of them 4. B only correct Explanation: A. FALSE: PQ is the line segment from P to Q . B. TRUE: − −−→ QP is the displacement vector having initial point P and terminal point 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 −−→ QC in terms of u and v . 1. −−→ QC = u + 1 2 v 2. −−→ QC = 1 2 v − u correct 3. −−→ QC = − 1 2 v 4. −−→ QC = − 1 2 u 5. −−→ QC = 1 2 u − v 6. −−→ QC = 1 2 u + v Explanation: By the parallelogram law for the addition of vectors we see that −−→ QC = 1 2 v − u . 003 10.0 points Find the vector v having a representation by the directed line segment −−→ AB with respect to points A ( − 1 , − 1) and B (4 , 3)....
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This note was uploaded on 06/05/2011 for the course MATH 408 D taught by Professor Gilbert during the Spring '11 term at University of Texas.

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HW06-solutions - zakaria (mmz255) – HW06 – gilbert –...

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