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# UTHW04 - xu(xx638 Homework#4 nevils(77401 This print-out...

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xu (xx638) – Homework #4 – nevils – (77401) 1 This print-out should have 25 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Consider the vector -→ M = (+ a, + d ) = + a ˆ ı + d ˆ  . - b - a - c - d d c a b - b - a - c - d d c a b F B A G C E D H x y Which vector is a valid representation of -→ M ? 1. H and G , but no others. 2. G only. 3. H only. 4. B and E , but no others. 5. C and F , but no others. 6. D , E , B , and A , but no others. 7. A only. 8. D only. 9. H , C , F , and G , but no others. 10. D and A , but no others. 002 (part 1 of 2) 10.0 points Consider the two vectors vector M = ( a, b ) = a ˆ ı + b ˆ and vector N = ( c, d ) = c ˆ ı + d ˆ . What is the value of the scalar product vector M · vector M ? 1. a - b 2. 2 a b 3. a + b 4. radicalbig a 2 + b 2 5. - 2 a b 6. a 2 + b 2 7. a 2 - b 2 8. a 2 + 2 a b + b 2 9. a 2 - 2 a b + b 2 003 (part 2 of 2) 10.0 points What is the value of the scalar product vector M · vector N ? 1. a 2 + b 2 + c 2 + d 2 2. a d + b c 3. a b + c d 4. a b c d 5. a b - c d 6. a c + b d 7. a d - b c 8. radicalbig a 2 + b 2 + radicalbig c 2 + d 2 9. a c - b d 004 (part 1 of 2) 10.0 points Consider four vectors vector F 1 , vector F 2 , vector F 3 , and vector F 4 with magnitudes F 1 = 36 N, F 2 = 38 N, F 3 = 15 N, and F 4 = 68 N, θ 1 = 130 , θ 2 = - 150 , θ 3 = 31 , and θ 4 = - 65 , measured from the positive x axis with counterclockwise positive.

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xu (xx638) – Homework #4 – nevils – (77401) 2 What is the magnitude of the resultant vec- tor vector F = vector F 1 + vector F 2 + vector F 3 + vector F 4 ? Answer in units of N. 005 (part 2 of 2) 10.0 points What is the direction of this resultant vec- tor vector F , within the limits of - 180 and 180 as measured from the positive x axis with coun- terclockwise positive ?
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UTHW04 - xu(xx638 Homework#4 nevils(77401 This print-out...

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