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The displacement vectors A vector t and B vector shown in the figure below both

ID: 1899304 • Letter: T

Question

The displacement vectors A vector t and B vector shown in the figure below both have magnitudes of 4.42 m. The direction of vector A is 39.0 degree. Find A vector + B vector graphically, magnitude m direction degree counterclockwise from the +x axis Find A vector - B vector graphically. magnitude m direction degree counterclockwise from the +x axis Find B vector - A vector graphically. magnitude m direction degree counterclockwise from the +x axis Find A vector - 2Bvector graphically. magnitude m direction degree counterclockwise from the +x axis

Explanation / Answer

a.) B = 4.42j A = 4.42*cos39 i +4.42sin39 j A + B = 4.42*cos39i +4.42(1+sin39)j = 4.42(0.777i+1.629j) so|A+B| = 4.42*1.804 = 7.977 direction = tan^-1(1.629/0.777) = 64.49

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