vue not found in docker container

Question

I am trying to run vue/cli in a docker container.
I started the container went to cli of the container through docker exec -it command and entered the command npm install @vue/cli. Now, when I see the package.json file of the container, I see the package installed but when I try to create a project with the command vue create <project-name> it shows vue command not found.

{
  "name": "node_dock_2",
  "version": "1.0.0",
  "description": "node with docker with vue.js",
  "main": "index.js",
  "scripts": {
    "start": "node index.js"
  },
  "keywords": [
    "website",
    "Docker",
    "vue.js",
    "vue/cli"
  ],
  "author": "Viraj",
  "license": "ISC",
  "dependencies": {
    "@vue/cli": "^4.5.15",
    "express": "^4.17.2"
  }
}

This is the message when I try to install @vue/cli: (npm install @vue/cli)

up to date, audited 943 packages in 12s

68 packages are looking for funding
  run `npm fund` for details

14 vulnerabilities (6 moderate, 8 high)

To address issues that do not require attention, run:
  npm audit fix

Some issues need review, and may require choosing
a different dependency.

Run `npm audit` for details.

This is my Dockerfile (Dockerfile, index.js and package.json are in same directory).

FROM node
WORKDIR /
COPY . .
RUN npm install
CMD ["node", "/index.js"]

What am I doing wrong?