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Saul Waters

Feb 20, 2025

With the diagram and the data answer the question: What is the magnitude of A + B?

With the diagram and the data answer the question: What is the magnitude of A + B?Diagram: http://i43.tinypic.com/1e9ik6.jpgDATA: θ1 = 40.1o, θ2 = 132.7o, A = 5.9cm, B =8.3cm.

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A and B are vector Quantities.The angle between vector A and vector B = 180 - (θ2 - θ1)[Do not be confused that the angle between A and B is (θ2 - θ1)] By Cosine Law of Vector Addition,Vector(A + B) = √{ A² + B² - 2AB cos(180 - (θ2 - θ1)) }= √{ A² + B² + 2AB cos(θ2 - θ1) }Putting the Corresponding Values,= √{ (5.9)² + (8.3)² + 2(5.9)(8.3) cos(132.7° - 40.1°) }= 9.963 cm==========... Show More

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