vector.py

import math

class Vector3:
    def __init__(self, x: float, y: float, z: float):
        self.x = x
        self.y = y
        self.z = z

    def __sub__(self, other):
        return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

    def __add__(self, other):
        return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)

    def __mul__(self, scalar: float):
        return Vector3(self.x * scalar, self.y * scalar, self.z * scalar)

    def __neg__(self):
        return Vector3(-self.x, -self.y, -self.z)

    def dot(self, other):
        return self.x * other.x + self.y * other.y + self.z * other.z

    def length(self):
        return math.sqrt(self.dot(self))

    def normalize(self):
        length = self.length()
        return Vector3(self.x / length, self.y / length, self.z / length)