Batteries and resistance.
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Higher resistance is less taxing on your battery. Example - if you are charged to 4.1v and using a 3.5 ohm coil - 4.1/3.5= 1.17 Amps. That would mean you are well within your batteries capabilities and only asking it for minimal work - great for your battery in general and will definitely give you more batt life per charge. 
You would not have to use a low resistance atty. The battery outputs the amount of amps that the resistance asks for. It's called current draw. The important thing is to never ask the battery for more current, or amps, than it can safely make. Do that and it will heat up. Get it hot enough and it will vent gas which is nasty and can be dangerous.
Using an ohms law calculator you can input the resistance and the battery voltage (4.2V for a fresh battery) and see the amp draw.
The other thing is that your battery puts out the voltage it does and there is nothing you can do to change it. That means the only way to adjust the amount of heat you put into the coil is by varying the resistance. 3.5 ohms would be a very cool vape and not good. 2 ohms is around 8 watts of power and likely be a much better vape.
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on a mechanical what the battery is capable of delivering isnt what is delivered to the head, unless the resistance is built to pull it from the battery.
the second problem is a mechanical is unregulated, meaning the voltage in the battery drops as you use it and that means the power will also drop off. this is why you need lower resistance on a mechanical - it will drive the battery output higher for a longer period of time before the vape becomes weak.
a very high resistance will not draw a lot of power to begin with and become very weak very fast.
usually a good range for normal resistance on a mechanical is 1. to maybe 1.4 ohms
edit lol beat me to it
the second problem is a mechanical is unregulated, meaning the voltage in the battery drops as you use it and that means the power will also drop off. this is why you need lower resistance on a mechanical - it will drive the battery output higher for a longer period of time before the vape becomes weak.
a very high resistance will not draw a lot of power to begin with and become very weak very fast.
usually a good range for normal resistance on a mechanical is 1. to maybe 1.4 ohms
edit lol beat me to it
+Above. You can use anything that the battery is capable of handling, or higher resistance.
Personally, I tend to sit around 2.2 - 2.4 Ω on my stuff, and there are going to be very few batteries that object to this. As mentioned above, the battery will only deliver the amount of energy drawn at a given resistance. Drawing less energy than that (higher resistance) won't ever be a problem.
If you do go lower resistance, make sure to use a battery that exceeds any possible draw you'll ever tax it with--and personally, I like a nice safety margin in everything of an absolute minimum of fifty percent.
Personally, I tend to sit around 2.2 - 2.4 Ω on my stuff, and there are going to be very few batteries that object to this. As mentioned above, the battery will only deliver the amount of energy drawn at a given resistance. Drawing less energy than that (higher resistance) won't ever be a problem.
If you do go lower resistance, make sure to use a battery that exceeds any possible draw you'll ever tax it with--and personally, I like a nice safety margin in everything of an absolute minimum of fifty percent.
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