Vector C has a magnitude of 23.4 m and points in the -y- direction. Vectors A and B both have positive y- components, and make angles of a = 42.4° and ß = 28.7° 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
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 46P: Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y...
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Vector C has a magnitude of 23.4 m and points in the −? direction. Vectors A and B both have positive y‑components, and make angles of α=42.4° and β=28.7° 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 23.4 m and points in the -y-
direction. Vectors A and B both have positive y-
components, and make angles of a = 42.4° and ß = 28.7°
with the positive and negative x-axis, respectively. If the
vector sum A + B +C = 0, what are the magnitudes of A
and B?
Transcribed Image Text:Vector C has a magnitude of 23.4 m and points in the -y- direction. Vectors A and B both have positive y- components, and make angles of a = 42.4° and ß = 28.7° with the positive and negative x-axis, respectively. If the vector sum A + B +C = 0, what are the magnitudes of A and B?
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