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HW06-solutions

# HW06-solutions - moore(jwm2685 HW06 gilbert(55485 This...

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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 10.0points 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 isthedisplacement vector havinginitialpoint P andterminalpoint Q . B. FALSE: PQ is the line segment from P to Q . keywords: vectors, scalars, T/F, line segment, displacement vector, length 002 10.0points 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 vcorrect Explanation: By the parallelogram law for the addition of vectors we see that −→ AQ = u + 1 2 v . 003 10.0points 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 This...

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