Dual Monitors - Quick HDMI switch

That attitude will not get you far...
Picture this: You go on a road trip and the car fails on you in the middle of nowhere. You make a call to the emergency road service:
- "My car broke down in the middle of nowhere. I've looked at it, and see that, well, part of that gray thing broke off, melted off more like it, and the belt wrapped around it. Can you send a tow truck, fast?"
Do you believe that the car's maker and model names are irrelevant? It's unlikely that they will dispatch a tow truck without knowing what you drive, what would happen if you drive a scool bus that the standard tow truck can't handle?

Back to the issue:
I.
Win+P (DisplaySwitch) -> Computer only = Laptop
Win+P (DisplaySwitch) -> Projector only = TV
(If it fails to display picture on both, press Win+P again, Left Arrow once, Enter. Repeat until it does.)

or II.
Install Qres. It has some nifty parameters like "device" "detach" "primary" that can help you do what you want. Here's some example to get you started:
In it's folder add "res1680.bat" and "res1920.bat"
Create shorcuts on desktop to them, and assign hotkeys in the lnk properties, too.
Note: Is it 1680x1050? or 1650x???? You believe that the screen resolution of the laptop is irrelevant, too?

Code:

@echo off
resswitch.exe /WIDTH:1680 /HEIGHT:1050 /FREQ:60 /DEPTH:32
exit

Code:

@echo off
resswitch.exe /WIDTH:1920 /HEIGHT:1080 /FREQ:60 /DEPTH:32
exit

In Qres help, you find some usage help, you need to run ResCopy (included in the same package) that will give you the required device id representing you TV. Then you only need one batch file with added /DEVICE switch and \\.\DISPLAYX parameter (replace X with the one found by ResCopy).

Code:

@echo off
 resswitch.exe /WIDTH:1920 /HEIGHT:1080 /FREQ:60 /DEPTH:32 /DEVICE:\\.\DISPLAY2
 exit

or III.
Use a media player capable of switching fullscreen resolution, like Media Player Classic - Home Cinema. Go to Options->Playback->Change fullscreen resolution to->1920x1080 32bpp 60hz.
Note: Do you live in EU (PAL world, 50Hz power line) or US (NTSC, 60Hz power line)? You believe that this is irrelevant, too?

Why do you expect to get pertinent answers without providing relevant info? You would not like Dr. "Teeth" guessing when doing drills in your mouth.