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Chapter 3: Q. 3 (page 77)
If Can Can For each, show how or explain why not.
The magnitude of vectorcan be but it magnitudecanot be less than
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What are the - and -components of the velocity vector shown in FIGURE EX3.19?
II A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at . A wise elder duck finally realizes that the solution is to fly at an angle to the wind. If the ducks can fly at relative to the air, what direction should they head in order to move directly south?
II Ruth sets out to visit her friend Ward, who lives north and east of her. She starts by driving east, but after she comes to a detour that takes her south before going east again. She then drives east for and runs out of gas, so Ward flies there in his small plane to get her. What is Ward's displacement vector? Give your answer (a) in component form, using a coordinate system in which the -axis points north, and (b) as a magnitude and direction.
a. What is the angle between vectors in FIGURE P3.24?
b. Use geometry and trigonometry to determine the magnitude and direction of
c. Use components to determine the magnitude and direction of
Let , and .
a. Write vector in component form.
b. Draw a coordinate system and on it show vectors, and.
c. What are the magnitude and direction of vector ?
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