That depends, what video are you talking about?
No.
You can download the Youtube application from the eShop if you want to watch Youtube videos, you can not watch video files such as mp4s, but if you upload them to Youtube you will be able to watch them :)
The 3DS has no video-out, therefore there are no video cords or cables for it.
From what i have heard, yes you can watch youtube on the 3ds, so much as any other video online, being how much we will have to pay for, Nintendo has the 3ds extremely technilogicaly advanced, so if the wii has it the 3ds has it, if the wii dos'NT do it, more than likely the 3ds will. No, I have a Nintendo 3DS and the Internet Browser. Sadly it doesn't work.. when you go on youtube on the 3ds it says you need Adobe Player and you can get Adobe Player. So the awser is no.
It can support video. You can find video on the 3DS on each of these places: Nintendo eShop, Nintendo Video, and Netflix (as of Aug 25, 2012).
You can't watch TV on your 3DS.
the 3ds will take video in an update coming in May some time. REMEMBER TO UPDATE EVERYDAY.
Yes
there is no puss in boots the video game in the 3ds
I say 3ds for the win 3ds has a camera and full 3d graffiti gravediggers
As of yet, there is no dedicated video chat application for the 3DS. Video chat is still possible if you, say, use the video chat feature in Pokemon Black and White Versions.
There is no easy way to do this. The 3DS does not have a video-out port, so there is no way to connect 3DS to a TV to display its video on the screen. Instead, you need a capture card, and this card must be installed inside the 3DS, spliced into the circuitry, with a hole cut in the case for its USB port. This port can then be connected to a monitor to stream the 3DS's video data.