diff --git a/src/OpenMesh/Core/Geometry/Vector11T.hh b/src/OpenMesh/Core/Geometry/Vector11T.hh
index c9d918ba..c820008d 100644
--- a/src/OpenMesh/Core/Geometry/Vector11T.hh
+++ b/src/OpenMesh/Core/Geometry/Vector11T.hh
@@ -718,6 +718,34 @@ noexcept(noexcept(_v1.swap(_v2))) {
     _v1.swap(_v2);
 }
 
+/// \relates OpenMesh::VectorT
+/// non-member norm
+template<typename Scalar, int DIM>
+Scalar norm(const VectorT<Scalar, DIM>& _v) {
+    return _v.norm();
+}
+
+/// \relates OpenMesh::VectorT
+/// non-member sqrnorm
+template<typename Scalar, int DIM>
+Scalar sqrnorm(const VectorT<Scalar, DIM>& _v) {
+    return _v.sqrnorm();
+}
+/// \relates OpenMesh::VectorT
+/// non-member vectorize
+template<typename Scalar, int DIM, typename OtherScalar>
+VectorT<Scalar, DIM>& vectorize(VectorT<Scalar, DIM>& _v, OtherScalar const& _val) {
+    return _v.vectorize(_val);
+}
+
+/// \relates OpenMesh::VectorT
+/// non-member normalize
+template<typename Scalar, int DIM>
+VectorT<Scalar, DIM>& normalize(VectorT<Scalar, DIM>& _v) {
+    return _v.normalize();
+}
+
+
 //== TYPEDEFS =================================================================
 
 /** 1-byte signed vector */
diff --git a/src/OpenMesh/Core/Mesh/PolyMeshT.hh b/src/OpenMesh/Core/Mesh/PolyMeshT.hh
index 3aaa2279..90def28f 100644
--- a/src/OpenMesh/Core/Mesh/PolyMeshT.hh
+++ b/src/OpenMesh/Core/Mesh/PolyMeshT.hh
@@ -539,7 +539,7 @@ public:
     calc_sector_normal(_heh, n0);
     calc_sector_normal(this->opposite_halfedge_handle(_heh), n1);
     calc_edge_vector(_heh, he);
-    Scalar denom = length(n0)*length(n1);
+    Scalar denom = norm(n0)*norm(n1);
     if (denom == Scalar(0))
     {
       return 0;