16_new - HW05 gilbert (55035) This print-out should have 10...

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HW05 – gilbert – (55035) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. −→ express AQ in terms of u and v. −→ 1 1. AQ = 2 u − v 001 0.0 points Which, if any, of the following −−→ A. −QP , B. P Q , are representations of vectors when P, Q are points in 3-space? 1. both of them 2. neither of them 3. A only correct 4. B only Explanation: −−→ A. TRUE: −QP is the displacement vector having initial point P and terminal point Q. B. FALSE: P Q is the line segment from P to Q. keywords: vectors, scalars, T/F, line segment, displacement vector, length 002 0.0 points When u, v are the displacement vectors −→ −→ u = AP , v = AC , determined by the parallelogram R Q P S O C B A 2. −→ AQ = u + 1 2 v correct 3. −→ AQ = 1 2 u + v 1 4. −→ AQ = 2 v 1 5. −→ AQ = 2 u 1 6. −→ AQ = 2 v u Explanation: By the parallelogram law for the addition of vectors we see that −→ 1 AQ = u + 2 v . 003 0.0 points Find the vector v having a representation −−→ by the directed line segment AB with respect to points A(3, −1) and B(−4, 3). 1. v = h−7, 4O correct 2. v = h−1, 2O 3. v = h−7, −4O 4. v = h1, 2O 5. v = h7, 4O 6. v = h−1, −2O Explanation: Since −−→ AB = h−4 − 3, 3 + 1O , we see that v = h−7, 4O .
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This note was uploaded on 04/04/2012 for the course M 408d taught by Professor Sadler during the Spring '07 term at University of Texas at Austin.

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16_new - HW05 gilbert (55035) This print-out should have 10...

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