Vector area is a concept in mathematics and physics that describes an area in two or three dimensions using a vector representation. It is particularly useful in fields like fluid dynamics, electromagnetism, and geometry. ### Definition: - **Vector Area**: The vector area of a surface is defined as a vector whose magnitude is equal to the area of the surface and whose direction is perpendicular to the surface in accordance with the right-hand rule.
Articles by others on the same topic
The vector area of an oriented surface is the integral of its unit normal vector times its area element. If its oriented boundary is a closed curve , Stokes theorem givesConsequently it depends only on the oriented boundary, not on the spanning surface. For a planar surface it is signed area times a unit normal vector. A current loop has magnetic dipole moment ; the scalar area of a nonplanar spanning surface is not interchangeable with this vector.