Personally I hate connecting USB cable for every small thing, NOT to mention sometimes forgot to bring USB cable. In fact, most of us prefer to transfer photos, music, videos, contact, etc WIRELESSLY from computer to android tablet like Samsung Galaxy Tab 2/3, Google Nexus 7 or any android phone like Galaxy S4. You can transfer files from android device to PC or Mac wirelessly via WiFi.
Google Play Store has more than couple of popular android apps to transfer files wirelessly. You can access media & transfer media using a browser on your computer.
AirDroid: AirDroid is free android app. I personally like this android app. Interface is nice and clean. This android app does more than just transferring files between your android device and computers.
-Manage & transfer files wirelessly via WiFi. You can also search & delete files from browser.
-Send & receive SMS messages from your browser on your computer. You don’t need to keep your phone in your hands. If you are doing lot of texting. This is a cool feature.
-Manage contacts, ringtones. photos, videos, clipboard etc easily on the big screen in your browser.
Kies Air: Kies Air android app is developed by Samsung. If you have Samsung android device, you most probably have this app. This app also works the same way. You can access files like photos, videos, music etc on your computer using a browser after opening this app.
You can manage & access photos, contacts, ringtones, messages, call log, videos, music etc.
If you have 2 Samsung products like a tablet & a phone, you can transfer files wirelessly using Kies Air. As Kies Air comes pre installed, you don’t need to install any other apps.
Like all these apps, the only requirement is both android device & computer need to be on the same WiFi network. These apps should works for Galaxy Tab 2, Galaxy Tab 3, Nexus 7, HTC One X, Galaxy S3, Galaxy S4, Droid Razr and more.
Source from: http://www.ekoob.com/transfer-files-wirelessly-nexus-7-android-wifi-11554/
P.S. The only issue you need to note when transferring videos to Galaxy Tab 2/3 or other Android devices from PC or Mac, you should keep the video files in your Android gadget playable format. For example, when you wanna add MKV, AVI, MTS, MPEG, MOV, VOB to Galaxy Tab 2/3 for smooth playback, first of all, you need to reformat theses video files to a Galaxy Tab 2/3 friendly format e.g. MP4. Or, these transferred files can’t be recognized by your Samsung tab at all. Here I would like to recommend Brorsoft Video Converter to you.
Overall, the program can be used as an all-in-one video conversion app for Android, iOS, Windows 8 tablet or phone. It can help you convert almost various formats of 1080p/720p HD videos including AVI, MKV, MPG, MOV, TiVo, MTS, VOB, DVR-MS, WTV, MVI, etc to the decent format you want. Meanwhile the quality of the converted videos is as good as possible as original. The equivalent Mac version is the Video Converter Mac, which can reformat HD videos on Mac OS X (include Lion and Mountain Lion).
Enjoy your digital life.