First of all, relax there hot shot. You asked for help, people are giving it. If you don't like it, don't take it, no need to get defensive and rude.
Second, no, lights don't need to reach the pots, light needs to reach the PLANTS. The pots arn't growing, the plants are. You can lst all you want, but if the pot is six inches high, why do you need to light up the bottom of the pot? The top is understandable, but not the bottom of it. And your pathagorean theorm can be used on large grows, like room sized, but it really doesn't matter on small grows. When your grow space is 10 feet wide and you are putting the light five feet away from your plants, yes that is a big difference of over 2 feet of light travel from the edge of your grow to the distance traveled right under the light (light placed in center of room means light travels five feet to closest wall ... 5^2 + 5^2 = 50 .... sqrt(50)=7 ... 7 - original 5 = 2 more feet of travel). Big difference and something you need to compensate for. On small grows, like the one you asked about in this thread ("Smallest possible cab...400w lumatek...How stealthy and small can i go?") it really doesn't matter. When you are growing in a 16 inch by 18 inch square area and you are keeping your lights 8 inches away from the light, it doesn't make that much of a difference. The light is placed in the middle, so in the center it has to travel 8 inches. The distance from the closest wall is 9 inches. Your wonderful theorm then tells you to hit the furthest wall it has 12 inches to travel. You are talking about 4 inches. The lumens arn't going to disipate that much that quickly. If normal people are going to use a 150 watt and you think that isn't enough, fine, use a 200, or a 250. But a 400 just uses way mroe energy than you need and creates much more problems in small spaces.
But again, if you don't like my opinion don't take it. I don't really give a shit. You just asked for help and I'm giving my two cents.