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Consider the vectors below. For this exercise you should round all answers to one decimal place. F₂, F₂ = 20 F₁,F₁ = 14 35⁰ 20⁰ F3, ||F3|| = 10 15⁰

Consider the vectors below. For this exercise you should round all answers to one decimal place. F₂, F₂ = 20 F₁,F₁ = 14 35⁰ 20⁰ F3, ||F3|| = 10 15⁰

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 1CM
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5. Consider the vectors below. For this exercise you should round all answers to one decimal place. F₂,||F₂ = 20 F₁₂, F₁ = 14 35⁰ 20⁰ F3, ||F3|| = 10 a. Represent each of the force vectors in component form. Place your response in the table below. F3 b. Determine the resultant force, expressing it in terms of the unit vectors i and j. Sketch this resultant vector on the above diagram. 15⁰
Transcribed Image Text:5. Consider the vectors below. For this exercise you should round all answers to one decimal place. F₂,||F₂ = 20 F₁₂, F₁ = 14 35⁰ 20⁰ F3, ||F3|| = 10 a. Represent each of the force vectors in component form. Place your response in the table below. F3 b. Determine the resultant force, expressing it in terms of the unit vectors i and j. Sketch this resultant vector on the above diagram. 15⁰
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C. Suppose the resultant force acted on an object that was at the origin and resulted in the displacement vector d =< 3,4 >. How much work was done by the resultant force on the object? Use your answer from part b as appropriate. d. Using your results from parts b and c, what is the measure of the angle between the resultant force and displacement vector?
Transcribed Image Text:C. Suppose the resultant force acted on an object that was at the origin and resulted in the displacement vector d =< 3,4 >. How much work was done by the resultant force on the object? Use your answer from part b as appropriate. d. Using your results from parts b and c, what is the measure of the angle between the resultant force and displacement vector?
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Follow-up Question
C. Suppose the resultant force acted on an object that was at the origin and resulted in the displacement vector d =< 3,4 >. How much work was done by the resultant force on the object? Use your answer from part b as appropriate. d. Using your results from parts b and c, what is the measure of the angle between the resultant force and displacement vector?
Transcribed Image Text:C. Suppose the resultant force acted on an object that was at the origin and resulted in the displacement vector d =< 3,4 >. How much work was done by the resultant force on the object? Use your answer from part b as appropriate. d. Using your results from parts b and c, what is the measure of the angle between the resultant force and displacement vector?
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