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ng three vectc V B: 7.5 cm, 0 how that the t is, show tha S. estimate the

ng three vectc V B: 7.5 cm, 0 how that the t is, show tha S. estimate the

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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10. Consider the following three vectors, described here by their lengths and angles with respect to the x axis: A: 5.0 cm, 30°; B: 7.5 cm, 0°; and Č: 10.0 cm, 350°. (a) Using the tip-to-tail graphical method for vector addition, show that the order in which these vectors are added does not change the final displacement, D. That is, show that the following vector equation holds: Ď = (Ả + B) + C = Ả + (B + Č). (b) Use your graph to estimate the length of D and the angle it makes with the positive x axis. %3D
Transcribed Image Text:10. Consider the following three vectors, described here by their lengths and angles with respect to the x axis: A: 5.0 cm, 30°; B: 7.5 cm, 0°; and Č: 10.0 cm, 350°. (a) Using the tip-to-tail graphical method for vector addition, show that the order in which these vectors are added does not change the final displacement, D. That is, show that the following vector equation holds: Ď = (Ả + B) + C = Ả + (B + Č). (b) Use your graph to estimate the length of D and the angle it makes with the positive x axis. %3D
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