<input type="checkbox" id="jack" value="Jack" v-model="checkedNames">

<label for="jack">Jack</label>

<input type="checkbox" id="john" value="John" v-model="checkedNames">

<label for="john">John</label>

<input type="checkbox" id="mike" value="Mike" v-model="checkedNames">

<label for="mike">Mike</label>

<br>

<span>Checked names: {{ checkedNames }}</span>

new Vue({

  el: '...',

  data: {

    checkedNames: []

  }

})