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 Note that all three vectors lie in the xy plane so the sum of these vectors will also lie in the xy plane. m direction -45 ° counterclockwise from the +x axis (b) The magnitude and direction of E = -Ã – B + C. %3D magnitude Be very careful with the signs of the components. Remember that -A means to replace each component of A with the negative of its value. m direction ° counterclockwise from the +x axis

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Consider the three displacement vectors A = (4î – 3ĵ) 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
= A +B + C.
magnitude
Note that all three vectors lie in the xy plane so the sum of these vectors will also lie in the xy plane. m
direction
-45
° counterclockwise from the +x axis
(b) The magnitude and direction of
E
A -B +C.
%3D
magnitude
Be very careful with the signs of the components. Remember that -A means to replace each component of A with the negative of its value. m
direction
° counterclockwise from the +x axis
Transcribed Image Text:Consider the three displacement vectors A = (4î – 3ĵ) 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 = A +B + C. magnitude Note that all three vectors lie in the xy plane so the sum of these vectors will also lie in the xy plane. m direction -45 ° counterclockwise from the +x axis (b) The magnitude and direction of E A -B +C. %3D magnitude Be very careful with the signs of the components. Remember that -A means to replace each component of A with the negative of its value. m direction ° counterclockwise from the +x axis
Expert Solution
Step 1

A=4i^-3j^B=2i^-5j^C=-3i^+5j^

D=A+B+C

 

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