{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

2011c_x1b_sols

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

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH 151 , FALL SEMESTER 2011 COMMON EXAMINATION I- VERSION B- SOLUTIONS Name (print): Instructor’s 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...
View Full Document

{[ snackBarMessage ]}