Shopify Customer login form with Vue /Ajax

Please help me

[Please pardon me for my bad English]

I am trying to login as customer with vue and without page reload or redirect.

When I submit form I got 200 and 302 response. but can’t login.

I have included my code here :

let productForm = new Vue({
    el:".vue-login-form",
    data(){
        return{
            form: {
                email: null,
                password: null,
            },
            customerData: null,
        }
    },

    methods:{
        login(){
            axios.post('/account/login', this.form )
            .then((response) => {
                console.log(response);
                this.customerData = response.data;
            })
            .catch(function (error){
            });

            },
        },
        
})