#Calculate normal
		#a: pointList[0] -> pointList[1] is...
		a = vector3.sub(pointList[0], pointList[1])
		#b: pointList[1] -> pointList[2] is...
		b = vector3.sub(pointList[1], pointList[2])
		# a ^ b / |a ^ b| is...
		normal = vector3.unit( vector3.cross(a,b) )
		#Displacement is...
		displacement = vector3.scale(normal,displacement)

...where...

"""
Helper functions for basic 3d vector math.
"""

import math

def add(a,b):
    return map(sum, zip(a,b))

def sub(a,b):
    return [ x-y for x,y in zip(a,b) ]

def dot(a,b):
    """Scalar multiplication aka the dot product."""
    return [ x*y for x,y in zip(a,b) ]

def cross(a,b):
    """Vector multiplication aka the cross product."""
    x = a[1]*b[2] - a[2]*b[1]
    y = a[0]*b[2] - a[2]*b[0]
    z = a[0]*b[1] - a[1]*b[0]
    return (x,y,z)

def scale(vector,d):
    """Scale a vector a by the scalar value d."""
    return [ float(a)*d for a in vector ]

def abs(vector):
    """Returns the magnitude of the given vector."""
    (a,b,c) = vector
    return math.sqrt(a**2+b**2+c**2)

def unit(vector):
    """Returns a unit vector in the given direction."""
    mag = abs(vector)
    return scale(vector,1/mag)

print "Module py.vector3 loaded successfully."