Vector, by definition, have 2 or 3 scalar components (generally), but the curl of a vector field f(x,y) in 2D have only one scalar component: [tex]\left ( \frac{\partial f_y}{\partial x} -\frac{\partial f_x}{\partial y} \right )dxdy[/tex](adsbygoogle = window.adsbygoogle || []).push({});

So, the Curl of a vector field in 2D is a vector or a scalar?

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# Curl in 2D is a vector or a scalar?

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