6) Four men are competing in an air-racing event using their brand-new aerobatic planes. They took off a thousand feet above the sea level. Five minutes after the race started, man A is located at (−3î− ĵ− 2k̂) ft, man B at (8î− 5ĵ− 4k̂) ft, man C at (−6î− 4ĵ+ 7k̂) ft, and finally man D at (4î− 2ĵ+ 7k̂) ft. a) Express the axes components of A⃗ − B⃗ + C⃗ − D⃗ in terms of unit vectors. b) Calculate letter a’s magnitude.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 8PQ: The layout of the town of Popperville is a perfectly square grid, with blocks 100 feet long (Fig....
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6) Four men are competing in an air-racing event using their brand-new aerobatic planes. They took off a thousand
feet above the sea level. Five minutes after the race started, man A is located at (−3î− ĵ− 2k̂) ft, man B at (8î− 5ĵ−
4k̂) ft, man C at (−6î− 4ĵ+ 7k̂) ft, and finally man D at (4î− 2ĵ+ 7k̂) ft.
a) Express the axes components of A⃗ − B⃗ + C⃗ − D⃗ in terms of unit vectors.
b) Calculate letter a’s magnitude.

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