Angle as Vector: Vector Addition Property Explained

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The discussion centers on the classification of angle as a vector quantity despite its failure to adhere to the vector addition property, which only applies to infinitesimal angles. Participants question why angle is still considered a vector when electrical current, which also does not follow this rule, is not classified as one. It is clarified that neither electric current nor angle is considered a vector, while current density is recognized as a vector quantity. The conversation highlights the nuances in defining vector quantities in physics. Ultimately, the classification of angle remains contentious due to its unique properties.
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If the physical quantity angle doesn't follow the vector addition property (only infinitesimal angles follow this), why is it even considered to be a vector? Because i thought electrical current isn't considered to be a vector because it doesn't follow this rule. Why isn't it enough to rule out angle as a vector quantity?
 
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<sHoRtFuSe> said:
If the physical quantity angle doesn't follow the vector addition property (only infinitesimal angles follow this), why is it even considered to be a vector? Because i thought electrical current isn't considered to be a vector because it doesn't follow this rule. Why isn't it enough to rule out angle as a vector quantity?
Neither electric current nor angle are considered to be vectors. Current density is a vector quantity.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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