Vectors in a Curvilinear System
• The notion of a surface vector is well known.
• A surface vector is well defined at p by constructing a normal vector at p and prescribing a unit length.
• A set of surface vectors defined on a subset of the surface for an ellipsoidal ERM do not form a linear vector space.
• Common vector operations, such as scalar products, cross products, and transformation matrices are not defined.