Can I connect existing USB mouse and keyboard and VGA monitor to my Nexus 6

I guess question title sums it all. I have USB mouse, keyboard and VGA monitor. I am ready to buy couple of new adapters/cables. Will it be possible to connect all things up to my Nexus 6. I was thinking to do following: - Buy Micro USB to USB 3.0 Hub something like [this](https://www.flipkart.com/mobilegear-usb-otg-adapter/p/itmegq5mgnsnvpzs) - Buy USB 3.0 to VGA cable something like [this](http://www.amazon.in/TECHNOTECH-3-0-Multi-display-Converter-Resolution/dp/B014ZXCMVC/) - Connect Hub to phone - Connect mouse and keyboard to hub - Connect USB3.0-to-VGA cable to hub - Connect monitor to USB3.0-to-VGA cable Will this even work?