I have a vector, it is a zero vector apparently. I don't know what opperation lead to it being a zero vector. Any time I try to reduce this thing, I mess it up. I can't reduce it manually.

a=-((4*I)*sqrt(3)+4*sqrt(3)-5-7*I)/((4*I)*sqrt(3)+4*sqrt(3)-7-9*I)

b=-((390*I)*sqrt(3)+30*sqrt(3)-52-675*I)/(-3-4*I+2*sqrt(3)+(2*I)*sqrt(3))^3

c=-(1/2)*sqrt(2-2*I)*((6*I)*sqrt(3)+6*sqrt(3)-11-10*I)*(-2+sqrt(3))*sqrt(-2-2*I)*((2*I)*sqrt(3)+2*sqrt(3)-5-2*I)/(-3-4*I+2*sqrt(3)+(2*I)*sqrt(3))^3

<a/sqrt(a^2+b^2+c^2),b/sqrt(a^2+b^2+c^2),c/sqrt(a^2+b^2+c^2)>

The simplify command will reduce this bugger no problem. The moment I try rationalizing the denominator or anything like that I end up buggering the whole thing up. Maybe I should do a distance on two of the ordinates independently first. Anyway, I don't know what's up. 

I want to plot the curve of a pythagorean quadruple. Any suggestions? I think I have to use space curve. I never liked the options for color on those though. I'm guessing it's just a single curve based on what I know about these things. I have no idea what to expect but I'm sure it will please me no matter what.

X=2*m*p/(m^2+n^2+p^2)

y=2*n*p/(m^2+n^2+p^2)

z=(p^2-(m^2+n^2))/(m^2+n^2+p^2)