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# If A = (27 m) x + (-12 m) y, and B = (2.0 m) x + (12 m) y, find the direction and magnitude of each of the following vectors: A, B, A+B?

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- alexLv 71 month ago
A = (27 m) x + (-12 m) y

--> direction =tan^-1(-12/27)= -24 degrees

and magnitude = √(27^2+12^2) = 29.5m

B similar A

A+B = (27 m) x + (-12 m) y + (2.0 m) x + (12 m) y = (27m+2.0 m) x + (-12m+12 m) y=(29m)x + 0y = (29m)x--> the direction of x , magnitude = 29m

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