Added more math functionsto the vectors and matrix classes.

vectors.py

@@ -1,3 +1,5 @@
+import math
+
 class Vector2d:
 	def __init__(self, x, y):
 		self.points = [x, y]
@@ -23,6 +25,9 @@ class Vector2d:
 		
 	def __setitem__(self, key, value):
 		self.points[key] = value
+		
+	#def get_normalized_form(self):
+	#	return Vector3d(self.x / 2, self.y / 2, self.z / 2)
 
 class Vector3d(Vector2d):
 	def __init__(self, x, y, z):
@@ -42,6 +47,22 @@ class Vector3d(Vector2d):
 		# Returns a scalar that defines how similar two
 		# vectors are to one another.
 		return self.x * vector3d.x + self.y * vector3d.y + self.z * vector3d.z
+		
+	def vector_3d_length(self):
+		return math.sqrt(self.dot_product(self))
+		
+	def subtract_3d(self, vector3d):
+		return Vector3d(self.x - vector3d.x, self.y - vector3d.y, self.z - vector3d.z)
+		
+	def add_3d(self, vector3d):
+		return Vector3d(self.x + vector3d.x, self.y + vector3d.y, self.z + vector3d.z)
+		
+	def divide_3d(self, value):
+		return Vector3d(self.x / value, self.y / value, self.z / value)
+		
+	def get_normalized_form(self):
+		length = self.vector_3d_length()
+		return Vector3d(self.x / length, self.y / length, self.z / length)
 
 	@property
 	def z(self):
@@ -62,3 +83,6 @@ class Vector4d(Vector3d):
 	@w.setter
 	def w(self, value):
 		self.points[3] = value
+		
+	#def get_normalized_form(self):
+	#	return Vector3d(self.x / 4, self.y / 4, self.z / 4)