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Vectors A, B, and C are shown in Figure 2. a. What is A in terms of x and y components? Answer: A = 6 + 10.39ĵ b. What is B in terms of x and y components? Answer: B = -14.101 + 5.13) c. What is C in terms of x and y components? Answer: C = 12.5î - 21.65) d. What is the resultant vector R = A + B + C? Answer: R = 4.40î - 6.13) e. What is R, the magnitude of R? Answer: R = 7.55 f. What is 8, the angle R makes with respect to the +x-axis?0 = 360° - 54.33° = 305.67° B Figure 2: Vector for Problem 2. AY B = 15 20° Ā A = 12 60° 30° C = 25 Ĉ

Vectors A, B, and C are shown in Figure 2. a. What is A in terms of x and y components? Answer: A = 6 + 10.39ĵ b. What is B in terms of x and y components? Answer: B = -14.101 + 5.13) c. What is C in terms of x and y components? Answer: C = 12.5î - 21.65) d. What is the resultant vector R = A + B + C? Answer: R = 4.40î - 6.13) e. What is R, the magnitude of R? Answer: R = 7.55 f. What is 8, the angle R makes with respect to the +x-axis?0 = 360° - 54.33° = 305.67° B Figure 2: Vector for Problem 2. AY B = 15 20° Ā A = 12 60° 30° C = 25 Ĉ

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 7AEXP
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Problem 2: Vectors A, B, and C are shown in Figure 2. a. What is A in terms of x and y components? Answer: A = 6î + 10.39) b. What is B in terms of x and y components? Answer: B = -14.10î +5.13) c. What is C in terms of x and y components? Answer: C = 12.51 - 21.65) d. What is the resultant vector R = A + B + C? Answer: R = 4.401 - 6.13ĵ e. What is R, the magnitude of R? Answer: R = 7.55 f. What is, the angle R makes with respect to the +x-axis?0 = 360° - 54.33° = 305.67° B Figure 2: Vector for Problem 2. B = 15 20° AY A A = 12 60° 30° C = 25 Ĉ X
Transcribed Image Text:Problem 2: Vectors A, B, and C are shown in Figure 2. a. What is A in terms of x and y components? Answer: A = 6î + 10.39) b. What is B in terms of x and y components? Answer: B = -14.10î +5.13) c. What is C in terms of x and y components? Answer: C = 12.51 - 21.65) d. What is the resultant vector R = A + B + C? Answer: R = 4.401 - 6.13ĵ e. What is R, the magnitude of R? Answer: R = 7.55 f. What is, the angle R makes with respect to the +x-axis?0 = 360° - 54.33° = 305.67° B Figure 2: Vector for Problem 2. B = 15 20° AY A A = 12 60° 30° C = 25 Ĉ X
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