2011c_x1a_sols

# 2011c_x1a_sols - MATH 151 , FALL SEMESTER 2011 COMMON...

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Unformatted text preview: MATH 151 , FALL SEMESTER 2011 COMMON EXAMINATION I- VERSION A- 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 ( A ) of the exam on the ScanTron form. Mark your responses on the ScanTron form and on the exam itself 1 . Let v &amp; &amp; 2,4 and w &amp; &amp; 2 i 6 j . Compute 1 2 v &amp; w . a . 1 b . 2 c . 3 d . 4 e . 5 Correct Choice SOLUTION: 1 2 v &amp; w &amp; 1 2 &amp; 2,4 &amp; &amp; &amp; 2,6 &amp; &amp; 1,2 &amp; 2, &amp; 6 &amp; &amp; 3, &amp; 4 1 2 v &amp; w &amp; 3 2 4 2 &amp; 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 . &amp; | T 1 |cos23 | T 2 |cos37 &amp; and | T 1 |sin23 | T 2 |sin37 &amp; 50 Correct Choice b . &amp; | T 1 |cos23 | T 2 |cos37 &amp; 50 and &amp; | T 1 |sin23 | T 2 |sin37 &amp; c . | T 1 |cos23 | T 2 |cos37 &amp; 50 and &amp; | T 1 |sin23 | T 2 |sin37 &amp; d . &amp; | T 1 |cos23 | T 1 |cos37 &amp; and | T 2 |sin23 | T 2 |sin37 &amp; 50 e . | T 1 |cos23 | T 2 |cos37 &amp; and &amp; | T 1 |sin23 | T 2 |sin37 &amp; 50 SOLUTION: T 1 &amp; &amp; &amp; | T 1 |cos23,| T 1 |sin23 T 2 &amp; &amp; | T 2 |cos37,| T 2 |sin37 W &amp; &amp; 0, &amp; 50 T 1 T 2 W &amp; &amp; | T 1 |cos23 | T 2 |cos37 &amp; | T 1 |sin23 | T 2 |sin37 &amp; 50 &amp; 3 . Find the angle between the vectors v &amp; &amp; 1,2 and w &amp; &amp; 3,1 . a . 0 b . 30 c . 45 Correct Choice d . 60 e . 90 SOLUTION: | v | &amp; 5 | w | &amp; 10 v w &amp; 5 cos &amp; &amp; v w | v || w | &amp; 1 2 &amp; &amp; 45 1 4 . Find the scalar projection (component) and vector projection of v &amp; 5 i &amp;...
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## 2011c_x1a_sols - MATH 151 , FALL SEMESTER 2011 COMMON...

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