13) While hiking, you travel 5.0 miles south (vector A), then turn and travel 4.0 miles at an angle of 30 degrees north of east (B). a) Sketch a diagram of these two displacement vectors, roughly to scale. Assume the positive x-axis is in the east direction, and the positive y-axis is in the north direction. b) You now wish to return to where you started. Determine the magnitude and direction of the displacement vector D you must follow. Use the method of components. As always, show all the details of your work. (Show vector D in the diagram above.) (Use clear, standard notation; show all details of your work. See PSL 3.4-5.)

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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13) While hiking, you travel 5.0 miles south (vector Ā), then turn and travel 4.0 miles at an angle of 30
degrees north of east (B).
a) Sketch a diagram of these two displacement vectors, roughly to scale. Assume the positive x-axis
is in the east direction, and the positive y-axis is in the north direction.
b) You now wish to return to where you started. Determine the magnitude and direction of the
displacement vector Ď you must follow. Use the method of components. As always, show all the
details of your work. (Show vector D in the diagram above.)
(Use clear, standard notation; show all details of your work. See PSL 3.4-5.)
Transcribed Image Text:13) While hiking, you travel 5.0 miles south (vector Ā), then turn and travel 4.0 miles at an angle of 30 degrees north of east (B). a) Sketch a diagram of these two displacement vectors, roughly to scale. Assume the positive x-axis is in the east direction, and the positive y-axis is in the north direction. b) You now wish to return to where you started. Determine the magnitude and direction of the displacement vector Ď you must follow. Use the method of components. As always, show all the details of your work. (Show vector D in the diagram above.) (Use clear, standard notation; show all details of your work. See PSL 3.4-5.)
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