1 a.Given three vectors with the magnitude A=4.0m, B=5.0m,C=6.0m and dierction A

Question

1 a.Given three vectors with the magnitude A=4.0m, B=5.0m,C=6.0m and dierction A=30degrees,B=90 degrees,C=225degrees, find the vector sum D=A+B+C analytically and graphically.Compare the results. b. Does the order in which vectors are added make a differencewhen graphical or analytical methods are used?Explain 1 a.Given three vectors with the magnitude A=4.0m, B=5.0m,C=6.0m and dierction A=30degrees,B=90 degrees,C=225degrees, find the vector sum D=A+B+C analytically and graphically.Compare the results. b. Does the order in which vectors are added make a differencewhen graphical or analytical methods are used?Explain

Explanation / Answer

   given A = 4.0 m B = 5.0 m C = 6.0 m then in component form we have             A = 4.0 cos 30 i + 4.0 sin 30 j                 =3.464i + 2j             B = 5.0 cos 90 i + 5.0 sin 90 j                 = 5j             C = 6.0 cos 225 i + 6.0 sin 225 j                =-4.24 i- 4.24 j then D = A+B+C = (3.464 i + 2j)+( 5j)+(-4.24 i-4.24 j)                            = 0.594 i +2.76 j

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