用python写自定义类模拟三维向量及其运算。包括向量的加法、减法以及向量与标量的乘法和除法，并使用@property查看向量长度。 例如，a=(x1,y1,z1),b=(x2,y2,z2) a+b=(x1+x2,y1+y2,z1+z2),a-b=(x1-x2,y1-y2,z1-z2) n=10,a*n=(x1*n,y1*n,z1*n),a/n=(x1/n,y1/n,z1/n) a.length=(x1**2+y1**2+z1**2)**0.5

好的，以下是实现代码：

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

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

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

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

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

    @property
    def length(self):
        return (self.x ** 2 + self.y ** 2 + self.z ** 2) ** 0.5

使用方法如下：

a = Vector(1, 2, 3)
b = Vector(4, 5, 6)

print(a + b)  # 输出 Vector(5, 7, 9)
print(a - b)  # 输出 Vector(-3, -3, -3)
print(a * 10)  # 输出 Vector(10, 20, 30)
print(a / 2)  # 输出 Vector(0.5, 1.0, 1.5)
print(a.length)  # 输出 3.7416573867739413