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```python
# AI Dev Tool: PostgreSQL Vector Search Extension CLI Automation Tool
# Description: A command-line interface tool for automating PostgreSQL vector search extension tasks
# Requirements: Python 3.8+, psycopg2, numpy

import psycopg2
import numpy as np
from typing import List, Tuple

def connect_to_postgres(host: str, database: str, user: str, password: str) -> psycopg2.Connection:
    """
    Establish a connection to a PostgreSQL database.

Args:
    - host (str): The hostname or IP address of the PostgreSQL server.
    - database (str): The name of the database to connect to.
    - user (str): The username to use for the connection.
    - password (str): The password to use for the connection.

Returns:
    - A psycopg2 Connection object.
    """
    try:
        return psycopg2.connect(
            host=host,
            database=database,
            user=user,
            password=password
        )
    except psycopg2.Error as e:
        print(f"Error connecting to PostgreSQL: {e}")
        return None

def create_vector_search_extension(conn: psycopg2.Connection) -> None:
    """
    Create the PostgreSQL vector search extension.

Args:

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