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Find a formula = (F(x, y), F(x, y)) for the vector field in the plane with the following properties: 1. is not defined at


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Find a formula = (F(x, y), F(x, y)) for the vector field in the plane with the following properties: 1. is not defined at the origin 2. At any other point (x, y) (0,0) the vector field F points away from the origin with magnitude inversely proportional to the cube of the distance from (x, y) to the origin. 3. At the point (1, 0) the vector field F has magnitude 1. Use the notation < F(x, y), F2(x, y) >. F =

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