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Area is the product of two lengths. Length is a scalar quantity, the direction in the length is being measured does not influence the measurement. For instance the length of a line drawn between two points A and B is the same for AB as well as BA.
As the product of two scalar quantities is also a scalar quantity, area is a scalar quantity.
Area I VECTOR. I don't know why myself. I was searching in the net about it and came across this.
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