2011c_x1b_sols

2011c_x1b_sols - MATH 151 , FALL SEMESTER 2011 COMMON...

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Unformatted text preview: MATH 151 , FALL SEMESTER 2011 COMMON EXAMINATION I- VERSION B- SOLUTIONS Name (print): Instructors name: Signature: Section No: Part 1 Multiple Choice ( 12 questions , 4 points each , No Calculators ) Write your name, section number, and version letter ( B ) of the exam on the ScanTron form. Mark your responses on the ScanTron form and on the exam itself 1 . Let v & & 4, & 2 and w & 6 i 2 j . Compute 1 2 v & w . a . 5 Correct Choice b . 4 c . 3 d . 2 e . 1 SOLUTION: 1 2 v & w & 1 2 & 4, & 2 & & 6,2 & & 2, & 1 & & 6, & 2 & & & 4,3 1 2 v & w & 4 2 3 2 & 5 2 . A ball whose weight is 50 Newtons hangs from two wires, one at angle 23 from horizontal, and the other at angle 37 from horizontal. Let T 1 be the tension in the first wire, and T 2 be the tension in the second wire. Which set of equations can be used to solve for T 1 and T 2 ? a . | T 1 |cos23 | T 2 |cos37 & and & | T 1 |sin23 | T 2 |sin37 & 50 b . & | T 1 |cos23 | T 1 |cos37 & and | T 2 |sin23 | T 2 |sin37 & 50 c . | T 1 |cos23 | T 2 |cos37 & 50 and & | T 1 |sin23 | T 2 |sin37 & d . & | T 1 |cos23 | T 2 |cos37 & 50 and & | T 1 |sin23 | T 2 |sin37 & e . & | T 1 |cos23 | T 2 |cos37 & and | T 1 |sin23 | T 2 |sin37 & 50 Correct Choice SOLUTION: T 1 & & & | T 1 |cos23,| T 1 |sin23 T 2 & & | T 2 |cos37,| T 2 |sin37 W & & 0, & 50 T 1 T 2 W & & | T 1 |cos23 | T 2 |cos37 & | T 1 |sin23 | T 2 |sin37 & 50 & 3 . Find the angle between the vectors v & 1, 3 and w & 3 ,1 . a . 0 b . 30 Correct Choice c . 45 d . 60 e . 90 SOLUTION: | v | & 2 | w | & 2 v w & 2 3 cos & & v w | v || w | & 2 3 4 & 3 2 & & 30 1 4 . Find the scalar projection (component) and vector projection of...
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2011c_x1b_sols - MATH 151 , FALL SEMESTER 2011 COMMON...

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