自己封装一个三维矢量的类，这个矢量可以是实数矢量，也可以是复数矢量，实现矢量的+-，点乘，叉乘，如果是实数矢量，实现两个矢量的夹角求解，投影长度求解等常规矢量的运算；

我可以帮你设计一个名为`Vector`的类，它包含属性用于存储三维矢量（x、y、z分量），支持实数和复数两种类型的表示。以下是基本的功能实现：

import math

class Vector:
    def __init__(self, x=0, y=0, z=0, is_complex=False):
        self.x = x
        self.y = y
        self.z = z
        self.is_complex = is_complex

    # 实数矢量操作
    def __add__(self, other):
        if isinstance(other, Vector) and not self.is_complex and not other.is_complex:
            return Vector(self.x + other.x, self.y + other.y, self.z + other.z)
        else:
            raise ValueError("Cannot add different vector types.")

    def __sub__(self, other):
        if isinstance(other, Vector) and not self.is_complex and not other.is_complex:
            return Vector(self.x - other.x, self.y - other.y, self.z - other.z)
        else:
            raise ValueError("Cannot subtract different vector types.")

    def dot_product(self, other):
        if isinstance(other, Vector) and not self.is_complex and not other.is_complex:
            return self.x * other.x + self.y * other.y + self.z * other.z
        else:
            raise ValueError("Dot product is only applicable for real vectors.")

    def cross_product(self, other):
        if isinstance(other, Vector) and not self.is_complex and not other.is_complex:
            return Vector(
                self.y * other.z - self.z * other.y,
                self.z * other.x - self.x * other.z,
                self.x * other.y - self.y * other.x
            )
        else:
            raise ValueError("Cross product is only for real vector pairs.")

    # 复数矢量操作
    def complex_add(self, other):
        if self.is_complex and other.is_complex:
            real_part = self.x + other.x
            imag_part = self.y + other.y
            return Vector(real_part, imag_part, self.z + other.z, True)
        else:
            raise TypeError("Can only perform complex addition with another complex vector.")

    # 实数矢量的特殊方法
    def angle_between(self, other):
        if not self.is_complex and not other.is_complex:
            dot_product = self.dot_product(other)
            magnitude1 = math.sqrt(self.x**2 + self.y**2 + self.z**2)
            magnitude2 = math.sqrt(other.x**2 + other.y**2 + other.z**2)
            if magnitude1 == 0 or magnitude2 == 0:
                return 0
            return math.degrees(math.acos(dot_product / (magnitude1 * magnitude2)))
        else:
            raise ValueError("Angle calculation is for real vectors only.")

    def projection_length(self, onto):
        if not self.is_complex and not onto.is_complex:
            dot_product = self.dot_product(onto)
            return abs(dot_product) / onto.magnitude()
        else:
            raise ValueError("Projection length can only be calculated for real vectors.")

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

# 示例用法
v1 = Vector(1, 2, 3)
v2 = Vector(4, 5, 6)
print(v1.angle_between(v2))  # 计算两向量之间的角度