I cannot connect iPhone 5 and MacBook Air through Bluetooth

Like every iPhone ever made, data connections to computers via Bluetooth are not supported. They only type supported is personal hotspot

iPhone and iPod touch: Supported Bluetooth profiles

You cannot connect your iPhone with your Macbook Air or any other device to Transfer Data. You can use Bluetooth on IOS Device for Creating/Connecting a Hotspot Network, you also get some Bluetooth Headset and Speakers which can be connected to your iPhone and Play Music on it.

Hi

What are you trying to do? Internet tethering or something else?

You should be aware that data transfer or any sort of transfer (pictures, video, music etc) using Bluetooth has never been a feature of iOS.

If you want to transfer data from your Mac/PC to your iPhone or vice-versa use the cable that came with the iPhone to physically connect the device and use iTunes to sync whatever seems appropriate to you.

HTH?

Tony

What you need

To share content with AirDrop, both users need one of these devices using iOS 7:

• iPhone 5 or later
• iPad (4th generation)
• iPad mini
• iPod touch (5th generation)

You also need to turn on Wi-Fi and Bluetooth. And if you want to share with your contacts, sign in to your iCloud account.

You can't use AirDrop on iOS to share with OS X users, and OS X users can't use AirDrop to share with iOS devices.

http://support.apple.com/kb/ht5887

Hi

AirDrop uses your Wi-Fi network. Not bluetooth.

Sumesh_22 has given you the details.

HTH?

Tony

You are most Welcome