Hi,
I need to solve the following simultaneous inequlaity equation:
$a (-100,-100,669) +
$b (-100,350,-100) +
$c * (42,-100,-100) > (0,0,0)
Basically, given three different three-coordinate vectors, what combination of multipliers (a, b, and c) will result in all coords being above zero. I expect a set of rules as a result, like "a between 5 and 10 while b is between 0 and 3 and c is greater than 18" or something like that. Ideally, it would be good to have a generic form for soliving this, that is: given x dimmensions and x pointed vectors, how do I add it all up to get only positive coordinates.
Here's a rewrite of the original equation in case it is unclear:
-100a + -100b + 42c > 0
-100a + 350b + -100c > 0
669a + -100b + -100c > 0
All three need to be solved simultaneously
using PHP.
Thanks in advance!
