Hi there! I can understand how frustrating it can be when your Vector robot isn’t showing up on your iPhone’s Bluetooth. Let's work through this together.

Here are some steps to help troubleshoot the issue:

1. Ensure Vector is in Pairing Mode: First, make sure that your Vector robot is in pairing mode. You can typically do this by placing Vector close to your phone and ensuring it's awake. If it’s not in pairing mode, it won’t show up on your Bluetooth list.

2. Turn Bluetooth Off and On: Sometimes a simple reset can work wonders. Go to your iPhone's Settings, turn Bluetooth off and wait a few moments, then turn it back on.

3. Check the Vector App Permissions: Make sure your Vector app has the necessary permissions to access Bluetooth on your iPhone. You can do this by going to Settings > Privacy > Bluetooth on your iPhone and checking for the Vector app.

4. Power Cycle Your Devices: Try restarting both your Vector robot and your iPhone. This can help refresh the Bluetooth connection and resolve connectivity issues.

5. Check for Updates: Ensure that your Vector app is updated to the latest version, as compatibility issues can arise from using older software. Also, check that your iPhone is on the latest iOS version.

6. Specific Bluetooth Connections: Ensure that your Vector robot is close enough to your iPhone during pairing. Being too far away may prevent it from appearing in the Bluetooth list.

If you've tried all these steps and Vector still doesn’t show up, there may be a deeper issue at play. In that case, it might be helpful to refer to the guidance available here for issues with the Vector app: Vector App Can't Find Vector via Bluetooth.

Are you satisfied with the solution I provided, or do you need further assistance?