<div id="app">
  <vue-tabs>
    <vue-tab label="first">
      <h1>First</h1>
      <div>Lorem ipsum dolor sit amet consectetur adipisicing elit. Fugit, corporis!</div>
    </vue-tab>
    <vue-tab label="second">
      <h1>Second</h1>
      <div>Lorem ipsum dolor sit amet consectetur adipisicing elit. Fugit, corporis! Lorem ipsum dolor, sit amet consectetur adipisicing elit. Asperiores voluptatum, dolore provident sequi incidunt mollitia odit minus facere itaque reprehenderit minima aperiam nihil numquam veniam porro assumenda doloribus quidem id!</div>
    </vue-tab>
    <vue-tab label="third" :active="true">
      <h1>Third</h1>
      <div>Далеко-далеко за словесными горами в стране гласных, и согласных живут рыбные тексты. Жаренные свой гор деревни о всеми, бросил власти одна коварный имени, над, несколько путь которой щеке предложения залетают вершину первую.</div>
    </vue-tab>
  </vue-tabs>
</div>
*
  box-sizing: border-box

body
  font-family: sans-serif
  padding: 0 15px
  background: #f4f4f4
.tabs
  margin: 50px auto
  max-width: 700px
  background: #fff
  box-shadow: 0 3px 16px rgba(#000, .1)
  &__list
    display: flex
    height: 40px
    border-bottom: solid 1px #e9e9e9
  &__tab
    padding: 0 14px
    display: flex
    align-items: center
    color: rgba(#000, .7)
    font-size: 13px
    text-transform: uppercase
    cursor: pointer
    &_active
      color: dodgerblue
  &__container
    position: relative
    overflow: hidden
    will-change: height
    transition: height .4s cubic-bezier(.86,0,.07,1)
  &__wrapper
    display: flex
    justify-content: flex-start
    align-items: flex-start
    will-change: transform
    transition: transform .4s cubic-bezier(.86,0,.07,1)
  &__content
    flex: 1 0 100%
    width: 100%
    padding: 16px
View Compiled
console.clear()
Vue.component('vue-tabs', {
  template: `<div class="tabs">
    <div class="tabs__list">
      <div 
        class="tabs__tab"
        :class="{'tabs__tab_active': i === active}"
        @click="changeTab(i)" 
        v-for="(label, i) in Tabs.labels"
        :key="i"
      >{{label}}</div>
    </div>
    <div class="tabs__container" ref="container">
      <div class="tabs__wrapper" ref="wrapper">
        <slot />
      </div>
    </div>
  </div>`,
  computed: {
    active() {
      return this.Tabs.active
    }
  },
  data() {
    return {
      Tabs: {
        labels: [],
        items: [],
        active: 0
      }
    }
  },
  methods: {
    setHeight() {
      const el = this.Tabs.items[this.active]
      const height = el.scrollHeight
      this.$refs.container.style.height = height + 'px'
    },
    scrollWrapper() {
      const {wrapper} = this.$refs
      const offset = 100 * this.active
      wrapper.style.transform = `translate3d(-${offset}%, 0, 0)`
    },
    changeTab(i) {
      this.Tabs.active = i
      this.setHeight()
      this.scrollWrapper()
    }
  },
  provide() {
    return {
      Tabs: this.Tabs
    }
  },
  mounted() {
    this.setHeight()
    this.scrollWrapper()
    this.debounce = _.debounce(this.setHeight, 50)
    window.addEventListener('resize', this.debounce)
  },
  beforeDestroy() {
    window.removeEventListener('resize', this.debounce)
  }
})

Vue.component('vue-tab', {
  template: `<div class="tabs__content"><slot /></div>`,
  props: ['label', 'active'],
  inject: ['Tabs'],
  created() {
    const length = this.Tabs.labels.push(this.label)
    if (this.active) {
      this.Tabs.active = length - 1
    }
  },
  mounted() {
    this.Tabs.items.push(this.$el)
  }
})

new Vue({
  el: '#app'
})
View Compiled

External CSS

This Pen doesn't use any external CSS resources.

External JavaScript

  1. https://cdnjs.cloudflare.com/ajax/libs/vue/2.5.3/vue.min.js
  2. https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.5/lodash.min.js