[vue.js] Vue 'export default' vs 'new Vue'

When you declare:

new Vue({
    el: '#app',
    data () {
      return {}
    }
)}

That is typically your root Vue instance that the rest of the application descends from. This hangs off the root element declared in an html document, for example:

<html>
  ...
  <body>
    <div id="app"></div>
  </body>
</html>

The other syntax is declaring a component which can be registered and reused later. For example, if you create a single file component like:

// my-component.js
export default {
    name: 'my-component',
    data () {
      return {}
    }
}

You can later import this and use it like:

// another-component.js
<template>
  <my-component></my-component>
</template>
<script>
  import myComponent from 'my-component'
  export default {
    components: {
      myComponent
    }
    data () {
      return {}
    }
    ...
  }
</script>

Also, be sure to declare your data properties as functions, otherwise they are not going to be reactive.