diff --git a/vector3.py b/vector3.py
new file mode 100644
--- /dev/null
+++ b/vector3.py
@@ -0,0 +1,89 @@
+import math
+
+
+class Vector3:
+
+  def __init__(self,x,y,z):
+    self.x=x
+    self.y=y
+    self.z=z
+    
+  def __add__(self,v):
+    return Vector3(self.x+v.x, self.y+v.y, self.z+v.z)
+    
+  def __iadd__(self,v):
+    self.x+=v.x
+    self.y+=v.y
+    self.z+=v.z
+    return self
+    
+  def __sub__(self,v):
+    return Vector3(self.x-v.x, self.y-v.y, self.z-v.z)
+    
+  def __isub__(self,v):
+    self.x-=v.x
+    self.y-=v.y
+    self.z-=v.z
+    return self
+    
+  def __neg__(self):
+    return Vector3(-self.x, -self.y, -self.z)
+  
+  def __mul__(self,a): # scalar or dot product
+    if isinstance(a,Vector3):
+      return self.x*a.x + self.y*a.y + self.z*a.z
+    else:
+      return Vector3(self.x*a, self.y*a, self.z*a)
+    
+  def __imul__(self,a):
+    if isinstance(a,Vector3): raise BadOperandError(self,a,'attempted in-place dot multiplication')
+    self.x*=a
+    self.y*=a
+    self.z*=a
+    return self
+    
+  def __rmul__(self,a):
+    return self.__mul__(a)
+    
+  def __truediv__(self,a):
+    return Vector3(self.x/a, self.y/a, self.z/a)
+    
+  def __itruediv__(self,a):
+    self.x/=a
+    self.y/=a
+    self.z/=a
+    return self
+  
+  def __floordiv__(self,a):
+    return Vector3(self.x//a, self.y//a, self.z//a)
+    
+  def __ifloordiv__(self,a):
+    self.x//=a
+    self.y//=a
+    self.z//=a
+    return self
+    
+  def __xor__(self,v): # vector cross product
+    return Vector3(self.y*v.z-self.z*v.y, self.z*v.x-self.x*v.z, self.x*v.y-self.y*v.x)
+    
+  def __ixor__(self,v):
+    self.x=self.y*v.z-self.z*v.y
+    self.y=self.z*v.x-self.x*v.z
+    self.z=self.x*v.y-self.y*v.x
+    return self
+    
+  def __abs__(self):
+    return math.sqrt(self.x*self.x + self.y*self.y + self.z*self.z)
+    
+  def __str__(self):
+    return str((self.x,self.y,self.z))
+    
+  def __repr__(self):
+    return 'Vector3'+self.__str__()
+    
+    
+class BadOperandError(ArithmeticError):
+  def __init__(self,u,v,message):
+    self.u=u
+    self.v=v
+    self.message=message