[Vuejs]-How can I set up Vue.js in my Laravel Project ?

It looks like your version of Laravel Mix is out-of-date; there was a bug fixed in March 2017 that addressed this issue on newer versions of webpack.

You can update your version of Laravel Mix by either doing this:

npm uninstall laravel-mix && npm install --save-dev laravel-mix

or updating your package.json file to change the version for laravel-mix

...
"devDependencies": {
    ...
    "laravel-mix": "^0.11.4",
    ...
}
...

After changing the version number, run npm update.