Determine the equivalent directions for the given vectors. a. 35° N of E b. 20° W of S c. S 40° E d. N 65° W

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 11.4OQ: Let the four compass directions north, east, south, and west be represented by unit vectors ne . ....
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1. Determine the equivalent directions for the given vectors.

a. 35° N of E     b. 20° W of S        c. S 40° E       d. N 65° W

2. Determine the equilibrant of the given vectors by (a) parallelogram method and (b) triangle method. Use the given scale for your answer.

C = 10 kph, 12degrees N of W                 E = 15 kph, 83degrees S of E

3. A sailor in a small boat encounters shifting winds. She sails 8 km south, then 15 km 30o E of N, and then 12 km 25o N of W. Use polygon method to determine the magnitude and direction of her resultant displacement.

4. Solve for the required using the given vectors

A = 3i – 8j + 6k                  B = 4 j + 9k – 5i                     C = 7k                        a. A ∙B                            b. A ×B      c. (A ×B)×C            d. (B×C)∙A

 

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