# Q7 - Version 069 – DGQ07 – gilbert –(55485 1 This...

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Unformatted text preview: Version 069 – DGQ07 – gilbert – (55485) 1 This print-out should have 3 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine the dot product of vectors a , b when | a | = 5 , | b | = 3 and the angle between a and b is π/ 3. 1. a · b = 9 2. a · b = 8 3. a · b = 17 2 4. a · b = 7 5. a · b = 15 2 correct Explanation: The dot product of vectors a , b is defined in coordinate-free form by a · b = | a || b | cos θ where θ is the angle between a and b . For the given vectors, therefore, a · b = 15 cos π 3 = 15 2 . 002 10.0 points The box shown in x y z A B C D is the unit cube having one corner at the origin and the coordinate planes for three of its adjacent faces. Determine the scalar projection of −−→ AB onto −→ AC . 1. scalar projection = 1 2 2. scalar projection = 1 √ 2 3. scalar projection = 1 √ 3 4. scalar projection = 2 √ 3 correct 5. scalar projection = √ 2 6. scalar projection =...
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## This note was uploaded on 05/02/2011 for the course M 408 D taught by Professor Textbookanswers during the Spring '07 term at University of Texas.

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Q7 - Version 069 – DGQ07 – gilbert –(55485 1 This...

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