自定义三维向量类，模拟两个三维向量的加减乘除等运算 python

好的，我可以帮你实现一个自定义的三维向量类，并且重载加减乘除等运算符，以下是示例代码：

import math

class Vector3:
    def __init__(self, x=0.0, y=0.0, z=0.0):
        self.x = x
        self.y = y
        self.z = z

    def __repr__(self):
        return f"Vector3({self.x}, {self.y}, {self.z})"

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

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

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

    def __truediv__(self, scalar):
        return Vector3(self.x / scalar, self.y / scalar, self.z / scalar)

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

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

    def magnitude(self):
        return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

    def normalize(self):
        mag = self.magnitude()
        if mag > 0:
            self.x /= mag
            self.y /= mag
            self.z /= mag

# 测试代码
v1 = Vector3(1, 2, 3)
v2 = Vector3(4, 5, 6)

print(v1 + v2)  # Vector3(5, 7, 9)
print(v1 - v2)  # Vector3(-3, -3, -3)
print(v1 * 2)   # Vector3(2, 4, 6)
print(v2 / 2)   # Vector3(2.0, 2.5, 3.0)

print(v1.dot(v2))     # 32
print(v1.cross(v2))   # Vector3(-3, 6, -3)

v3 = Vector3(3, 0, 0)
v3.normalize()
print(v3)  # Vector3(1.0, 0.0, 0.0)

这是一个简单的示例，你可以根据需要添加更多的操作符重载和方法。