The Norm(f, p) calling sequence computes the p-norm of the Vector or vector field f. If p is omitted, it defaults to 2.

Note: If the current coordinate system (see SetCoordinates) is not cartesian, the Vector is transformed to Cartesian coordinates before the norm is computed (see MapToBasis).

If f is a vector field, the result is a procedure that, at any point (Vector) v, evaluates to the p-norm of the value of f at v.

The Norm(f,Euclidean) calling sequence is equivalent to Norm(f,2).

If  the value computed by this command defines a metric, but not a norm. For more information, see LinearAlgebra[Norm].