Python 中高效的矢量点类

使用Python编程语言进行矢量和点运算是非常常见的需求。Python提供了许多高效的库，可以轻松地进行矢量和点的计算。在本文中，我们将介绍如何使用Python中的矢量/点类来处理这些计算，并提供一些示例代码来帮助您更好地理解这些概念。

python
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 dot_product(self, other):
        return self.x * other.x + self.y * other.y + self.z * other.z
    
    def cross_product(self, other):
        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)

python
class Point:
    def __init__(self, x, y, z):
        self.x = x
        self.y = y
        self.z = z
    
    def distance_to(self, other):
        return ((self.x - other.x)**2 + (self.y - other.y)**2 + (self.z - other.z)**2)**0.5

python
point_a = Point(1, 2, 3)
point_b = Point(4, 5, 6)
distance = point_a.distance_to(point_b)
print("点A和点B之间的距离为:", distance)

python
vector_1 = Vector(1, 2, 3)
vector_2 = Vector(4, 5, 6)
dot_product = vector_1.dot_product(vector_2)
cross_product = vector_1.cross_product(vector_2)
print("矢量V1和V2的点积为:", dot_product)
print("矢量V1和V2的叉积为:", cross_product.x, cross_product.y, cross_product.z)