The area of a planar oriented region with a sign determined by orientation. For a triangle with cyclically ordered points , it is , using the two-dimensional cross product; reversing the order reverses the sign.

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The concept of "signed area" typically arises in the context of geometry, particularly in relation to polygons in the Cartesian coordinate system. It refers to the area of a shape that takes into account the orientation of the vertices (the order in which they are connected) and can therefore be positive or negative.