The displacement vectors A rightarrow and B rightarrow shown in the figure below

Question

The displacement vectors A rightarrow and B rightarrow shown in the figure below both have magnitudes of 2.90 m. The direction of vector A rightarrow is 24.2 degree. Find A rightarrow + B rightarrow graphically magnitude m direction counterclockwise from the +x axis Find A rightarrow - B rightarrow graphically magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. m direction counterclockwise from the +x axis Find B rightarrow - A rightarrow graphically. magnitude your response differs from the correct answer by more than 10%. Double check your calculations. m direction your response differs from the correct answer by more than 10%. Double check your calculations counterclockwise from the +x axis

Explanation / Answer

B = 4.42 j A = 3.43 i + 2.78 j a) A+B = 3.43 i + 7.2 j magnitude = 7.97 direction = 64.52 degrees with + x axis in anticlock wise direction b) A-B = 3.43 i -1.64 j magnitude = 3.8019 direction = 334.44 degrees with + x axis in anti clock wise direction c) B-A = -3.43 i + 1.64 j magnitude = 3.8019 direction = 154.44 degrees with + x axis in anti clock wise direction d) A -2B = 3.43 i - 6.06 j magnitude = 6.96 direction = 299.5 degrees with + x axis in anti clock wise direction

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