Jae had a trip to Charlotte last week.  When he was going to Charlotte, he made a stop at a rest area nearby a visiting center.  So his going from Columbia to Charlotte can be represented as a sum of two vectors, one representing his going from Columbia to the rest area and another going from the rest area to Charlotte.  Problem: Assume that you add the distance portion of the vector representing from Columbia to the rest area and that from the rest area to Charlotte.  Are you going to end up with the magnitude of the vector representing from Columbia to Charlotte or not, taking the curvature of the Earth into account?  Describe your reason.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 54P: A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast,...
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Jae had a trip to Charlotte last week.  When he was going to Charlotte, he made a stop at a rest area nearby a visiting center.  So his going from Columbia to Charlotte can be represented as a sum of two vectors, one representing his going from Columbia to the rest area and another going from the rest area to Charlotte.  Problem: Assume that you add the distance portion of the vector representing from Columbia to the rest area and that from the rest area to Charlotte.  Are you going to end up with the magnitude of the vector representing from Columbia to Charlotte or not, taking the curvature of the Earth into account?  Describe your reason.

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