A particle starts from the origin of a three-dimensional coordinate system and undergoes two consecutive displacements: r 1 → = 2.0 m i ^ + 1.0 m j ^ + 3.0 m k ^  r 2 → = − 1.0 m i ^ − 3.0 m j ^ − 1.0 m k ^ What is the distance of the particle from the origin after these two displacements?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
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Problem 3PQ: Problems 3 and 12 are paired. G A particle moves from position A to position C as shown in Figure...
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A particle starts from the origin of a three-dimensional coordinate system and undergoes two consecutive displacements:

r 1 → = 2.0 m i ^ + 1.0 m j ^ + 3.0 m k ^ 

r 2 → = − 1.0 m i ^ − 3.0 m j ^ − 1.0 m k ^

What is the distance of the particle from the origin after these two displacements?

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