Area can be represented as a vector quantity because it has both magnitude and direction. The direction of
area vector
In 3-dimensional geometry and vector calculus, an area vector is a vector combining an area quantity with a direction, thus representing an oriented area in three dimensions. Every bounded surface in three dimensions can be associated with a unique area vector called its vector area.
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Is area is a scalar quantity?
The magnitude of area is a scalar quantity.
How is area vector defined?
: the vector of a plane surface whose magnitude is the area of the figure and whose direction is that of a perpendicular to the plane of the figure.
