用python设计一个三维变量类，实现向量的加法减法和向量与标量的乘除法运算

在Python中，我们可以创建一个名为`Vector3D`的类，用于表示三维向量，并实现加法、减法、标量乘法和除法。这里是一个基础的实现：

class Vector3D:
    def __init__(self, x=0, y=0, z=0):
        self.x = x
        self.y = y
        self.z = z

    # 向量加法
    def add(self, other):
        if isinstance(other, Vector3D):
            return Vector3D(self.x + other.x, self.y + other.y, self.z + other.z)
        else:
            raise ValueError("Cannot add a Vector to a non-vector")

    # 向量减法
    def subtract(self, other):
        if isinstance(other, Vector3D):
            return Vector3D(self.x - other.x, self.y - other.y, self.z - other.z)
        else:
            raise ValueError("Cannot subtract a Vector from a non-vector")

    # 向量与标量乘法
    def scale(self, scalar):
        if isinstance(scalar, (int, float)):
            return Vector3D(self.x * scalar, self.y * scalar, self.z * scalar)
        else:
            raise ValueError("Scaling factor must be a number")

    # 向量除法（实际上这是缩放操作，因为向量除以标量并不常见）
    def divide(self, scalar):
        if isinstance(scalar, (int, float)) and scalar != 0:
            return Vector3D(self.x / scalar, self.y / scalar, self.z / scalar)
        else:
            raise ValueError("Cannot divide a vector by zero or a non-number")

# 示例用法
v1 = Vector3D(1, 2, 3)
v2 = Vector3D(4, 5, 6)

print("Addition:", v1.add(v2))
print("Subtraction:", v1.subtract(v2))
print("Multiplication:", v1.scale(2))
print("Division (scaled):", v1.divide(2))