English: In this image there are two surfaces. The first surface is the union of the red and green planes, and the counter-clockwise boundary is shown by the thick black line. The second surface is the blue plane and the counter-clockwise boundary is shown by the dashed blue line. The surface vectors of the red, green, and blue planes are shown. The total surface vector of the first surface is the sum of the surface vectors of the red and green planes, and is equal to the surface vector of the blue plane. This all implies that the total surface vector of a sloped flat surface is unchanged by replacing the surface with its horizontal and vertical components (projections).
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