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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 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

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

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 59P: At one point in space, the direction of the electric field vector Is given In the Cartesian system...
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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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