These notes come with much appreciation from Packt's ASP.NET Core 2 and Vue.js, adapted for my use.
.NET Core currently (2.2) only ships with a React and Angular project template. There is a Vue one but it uses Typescript and for some unknown reason doesn't compile when you perform a "dotnet run".
dotnet new --install Microsoft.AspNetCore.SpaTemplates::*
dotnet new vue