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

If v is a RootedVector, its norm is computed in the corresponding vector space, that is, relative to the root point of that vector space.  See VectorCalculus details for more information about rooted vectors.

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

The 2-norm can also be specified using the value Euclidean for the parameter p.

If  , then the value computed by this command defines a metric, but not a norm.  See LinearAlgebra[Norm] for details.