https://vuejs.org/v2/guide/forms.html#Checkbox
You should power your UI by the data provided to Vue.
Key points to take away from the link above is following:
<input type="checkbox" id="jack" value="Jack" v-model="checkedNames"> // all inputs point to same property by v-model directive
new Vue({
el: '...',
data: {
checkedNames: [] // this is an array that will collect all values from all checked inputs
}
})
If you want to have something selected, then just push to checkedNames array and it will be checked.