*56. The route followed by a hiker consists of three displacement vec- tors Ā, B, and C. Vector A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector Č is 35.0° north of west. The hiker ends up back where she started. Therefore, it follows that the resul- tant displacement is zero, or Ā + B + C = 0. Find the magnitudes of (a) vector B and (b) vector C.

University Physics Volume 1
18th Edition
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter2: Vectors
Section: Chapter Questions
Problem 63P: Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a)...
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*56. The route followed by a hiker consists of three displacement vec-
tors Ā, B, and C. Vector A is along a measured trail and is 1550 m in
a direction 25.0° north of east. Vector B is not along a measured trail,
but the hiker uses a compass and knows that the direction is 41.0° east
of south. Similarly, the direction of vector Č is 35.0° north of west. The
hiker ends up back where she started. Therefore, it follows that the resul-
tant displacement is zero, or Ā + B + C = 0. Find the magnitudes of
(a) vector B and (b) vector C.
Transcribed Image Text:*56. The route followed by a hiker consists of three displacement vec- tors Ā, B, and C. Vector A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector Č is 35.0° north of west. The hiker ends up back where she started. Therefore, it follows that the resul- tant displacement is zero, or Ā + B + C = 0. Find the magnitudes of (a) vector B and (b) vector C.
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