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Mathematics, 26.10.2020 17:00 VICTURN3666

Find a formula F⃗ =⟨ F1(x, y), F2(x, y) ⟩ for the vector field in the plane that has the properties that F⃗ (0,0)=⟨0,0⟩ and that at any other point (a, b)≠(0,0) the vector field F⃗ is tangent to the circle x2+y2=a2+b2 and points in the clockwise direction with magnitude ∥F⃗ (a, b)∥=2a2+b2−−−−−−√.

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Find a formula F⃗ =⟨ F1(x, y), F2(x, y) ⟩ for the vector field in the plane that has the properties...
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