Question

Area is a vector quantity since it represent cross product of two vectors. Is the statement true? If so, how area of circle represent cross product of two vectors?

Answer 1

it's a rather puzzling idea, but area can be either a scalar or vector quantity. Usually area is a scalar quantity. E.g. the area of my house is 2000 square feet. In more advanced calculus courses you'll run into area vectors. area is a vector because as u know pressure=force/area which is scalar"pressure"=vector"force" / X"area" area"X"= force/pressure which is vector/scalar =vector so area is a vector
In geometry, for a finite planar surface of scalar area S, the vector area is defined as a vector whose magnitude is S and whose direction is perpendicular to the plane, as determined by the right hand rule on the rim (moving one's right hand counterclockwise around the rim, when the palm of the hand is "touching" the surface, and the straight thumb indicate the direction).