[Vuejs]-I want to remove one script tag from page in vuejs and laravel

You can listen to beforeDestroy lifecycle method and remove the script from your document.

To do that, you need to save the DOM element created from you appendChild in your Vue component and remove the script tag in beforeDestroy lifecycle.

methods: {
    dynamicallyLoadScript(url) {
        var script = document.createElement("script");
        script.src = url;

        this.scriptEle = document.body.appendChild(script);
    }
}

beforeDestroy() {
  document.body.removeChild(this.scriptEle);
}