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Consider the three displacement vectors A = (4î - 3j) m, B = (2î - 5j) m, and C = (-3î + 5j) m. Use the component method to determine the following. (a) The magnitude and direction of the vector D = A + B + C. magnitude m direction ° counterclockwise from the +x axis (b) The magnitude and direction of E = -A - B + C. magnitude m direction counterclockwise from the +x axis

Consider the three displacement vectors A = (4î - 3j) m, B = (2î - 5j) m, and C = (-3î + 5j) m. Use the component method to determine the following. (a) The magnitude and direction of the vector D = A + B + C. magnitude m direction ° counterclockwise from the +x axis (b) The magnitude and direction of E = -A - B + C. magnitude m direction counterclockwise from the +x axis

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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Consider the three displacement vectors A = (4î – 3j) m, B = (2î – 5j) m, and C = (-3î + 5j) m. Use the component method to determine the following. (a) The magnitude and direction of the vector D = A + B + C. magnitude m direction ° counterclockwise from the +x axis (b) The magnitude and direction of E = -A - B + magnitude m direction ° counterclockwise from the +x axis
Transcribed Image Text:Consider the three displacement vectors A = (4î – 3j) m, B = (2î – 5j) m, and C = (-3î + 5j) m. Use the component method to determine the following. (a) The magnitude and direction of the vector D = A + B + C. magnitude m direction ° counterclockwise from the +x axis (b) The magnitude and direction of E = -A - B + magnitude m direction ° counterclockwise from the +x axis
Expert Solution
Step 1

Component Method:

For vector x=a i+ b j

Magnitude is |x|=a2+b2

Direction is θ=tan-1(ba)

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