An ant, crazed by the Sun on a hot Texas afternoon, darts over an xy plane scratched in the dirt. The x and y components of four consecutive darts are the following, all in centimeters: (35.0, 44.0), (bx, -63.0), (-17.0, cy), (-82.0, -67.0).The overall displacement of the four darts has the xy components (-140, -21.0).What are (a) bx and (b) cy? What are the (c) magnitude and (d) angle (counterclockwise from the positive direction of the x axis) of the overall displacement?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 55P
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An ant, crazed by the Sun on a hot Texas afternoon, darts over an xy plane scratched in the dirt. The x and y components of four consecutive darts are the following, all in centimeters: (35.0, 44.0), (bx, -63.0), (-17.0, cy), (-82.0, -67.0).The overall displacement of the four darts has the xy components (-140, -21.0).What are (a) bx and (b) cy? What are the (c) magnitude and (d) angle (counterclockwise from the positive direction of the x axis) of the overall displacement?

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