Velocity vectors A and B have equal magnitudes of 10 m/s. If the sum of A and B is the vector (12ĵ)m/s, determine the components of A and B.

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Velocity vectors A and B have equal magnitudes of 10 m/s. If the sum of A and B is the vector
(121)m/s, determine the components of A and B.
Transcribed Image Text:Velocity vectors A and B have equal magnitudes of 10 m/s. If the sum of A and B is the vector (121)m/s, determine the components of A and B.
Expert Solution
Step 1

The two vectors A and B can be represented in terms of their components as

A=Axi+AyjB=Bxy+Byj

The magnitudes of each of these vectors is equal to 10 m/s, thus

A=B=10A=Ax2+Ay2=10 m/sB=Bx2+By2=10 m/s

Also, the sum of the two vectors is

A+B=12j

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