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Unformatted text preview: huang (jwh2377) – Homework 3 – Kushner – (56640) 1 This printout should have 20 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Which of the following expressions are well defined for all vectors a , b , and c ? I. ( a · b ) · c , II. a · ( b + c ) , III.  a  · ( b · c ) . 1. II and III only 2. none of them 3. I only 4. II only 5. I and III only 6. all of them 7. III only 8. I and II only 002 10.0 points Find the angle between the vectors a = ( √ 3 , 2 ) , b = (− 5 , − √ 3 ) . 1. angle = 5 π 6 2. angle = π 3 3. angle = π 4 4. angle = 3 π 4 5. angle = π 6 6. angle = 2 π 3 003 10.0 points Determine the dot product of vectors a , b when  a  = 1 ,  b  = 4 and the angle between a and b is π/ 3. 1. a · b = 3 2. a · b = 3 2 3. a · b = 2 4. a · b = 5 2 5. a · b = 7 2 004 10.0 points Find the scalar projection of b onto a when b = 3 i + 3 j + 2 k , a = i − 2 j − 2 k . 1. scalar projection = − 7 3 2. scalar projection = − 1 3. scalar projection = − 2 4. scalar projection = − 4 3 5. scalar projection = − 5 3 005 10.0 points Find the vector projection of b onto a when b = ( 4 , − 1 ) , a = ( 3 , − 2 ) ....
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This note was uploaded on 02/18/2010 for the course MATH 408M taught by Professor Kushner during the Spring '10 term at University of Texas.
 Spring '10
 KUSHNER

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