will the ASUS P8Z77-V LGA 1155 Intel Z77 work with the Corsair Vengeance Blue 4GB (1x4GB) DDR3 1600 MHz ALSO will this motherboard work with the i7 3770k ? thanks
The answer is "Yes". The memory is compatible and it work. But installing the memory in pairs is better than single module, you can either order a same part number memory or buy a kit. Also since your motherboard supports higher speeds perhaps you can try 1866MHz or 2133MHz based on the applications you run or you intend to run.
Compatible Corsair Vengeance memory: (click on the part number)1 x 4GB - CMSX4GX3M1A1600C98GB kit (2 x 4GB) - CMZ8GX3M2A1600C916GB kit (2 x 8GB) - CMZ16GX3M2A1600C10
Yes, the CPU will work with your motherboard
Proof: You can verify the same by searching your CPU model in your motherboard's CPU support list
Hope I have answered all your question. Cheers mate