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Vector C has a magnitude of 28.2 m and points in the -y- direction. Vectors A and B both have positive y-components, and make angles of a = 42.9° and B = 27.2° with the positive and negative x-axis, respectively. If the vector sum A + B + C = 0, what are the magnitudes of A and B?

Vector C has a magnitude of 28.2 m and points in the -y- direction. Vectors A and B both have positive y-components, and make angles of a = 42.9° and B = 27.2° with the positive and negative x-axis, respectively. If the vector sum A + B + C = 0, what are the magnitudes of A and B?

Principles of Physics: A Calculus-Based Text
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 50P: Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component...
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Vector C has a magnitude of 28.2 m and points in the -y- direction. Vectors A and B both have positive y-components, and make angles of a = 42.9° and ß = 27.2° with the positive and negative x-axis, respectively. If the vector sum A + B + C = 0, what are the magnitudes of A and B? |Ã| = |B| = m m B α A Figure is not to scale. X
Transcribed Image Text:Vector C has a magnitude of 28.2 m and points in the -y- direction. Vectors A and B both have positive y-components, and make angles of a = 42.9° and ß = 27.2° with the positive and negative x-axis, respectively. If the vector sum A + B + C = 0, what are the magnitudes of A and B? |Ã| = |B| = m m B α A Figure is not to scale. X
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