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Multivariable CalculusMediumVectors in Space

Vectors in Space · Medium problem

Three forces act simultaneously on an object: F1=(2,1,−1)\mathbf F_1 = (2, 1, -1), F2=(0,3,2)\mathbf F_2 = (0, 3, 2) and F3=(−1,−2,4)\mathbf F_3 = (-1, -2, 4), each in newtons. The object moves along the straight displacement d=(3,0,−1)\mathbf d = (3, 0, -1) metres. Find the total work done by the three forces combined.