定义一个向量类，判断向量是否相等，并求模，加减乘除和向量积与数量积。用python在pycharm钟云行

可以使用以下代码实现向量类：

import math

class Vector:
    def __init__(self, x=0, y=0, z=0):
        self.x = x
        self.y = y
        self.z = z
    
    def __eq__(self, other):
        return self.x == other.x and self.y == other.y and self.z == other.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, other):
        if isinstance(other, Vector):
            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:
            return Vector(self.x * other, self.y * other, self.z * other)
    
    def __truediv__(self, other):
        return Vector(self.x / other, self.y / other, self.z / other)
    
    def __abs__(self):
        return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
    
    def dot(self, other):
        return self.x * other.x + self.y * other.y + self.z * other.z
    
    def angle(self, other):
        cos = self.dot(other) / (abs(self) * abs(other))
        return math.acos(cos)

这个向量类包含了向量的基本操作，包括相等判断、加减乘除、求模、向量积与数量积。

以下是使用向量类的示例：

v1 = Vector(1, 2, 3)
v2 = Vector(4, 5, 6)

print(v1 == v2) # False

v3 = v1 + v2
print(v3.x, v3.y, v3.z) # 5 7 9

v4 = v1 - v2
print(v4.x, v4.y, v4.z) # -3 -3 -3

v5 = v1 * 2
print(v5.x, v5.y, v5.z) # 2 4 6

v6 = v1 / 2
print(v6.x, v6.y, v6.z) # 0.5 1.0 1.5

print(abs(v1)) # 3.7416573867739413

v7 = v1 * v2
print(v7.x, v7.y, v7.z) # -3 6 -3

dot_product = v1.dot(v2)
print(dot_product) # 32

angle = v1.angle(v2)
print(angle) # 0.2257261285527342