如何知道一条线是否与C#中的平面相交？

using System;

class Program
{
    static void Main()
    {
        // 平面的法向量和常数
        double A = 1;
        double B = 1;
        double C = 1;
        double D = 0;

        // 线的起点和方向向量
        Vector3 P0 = new Vector3(0, 0, 0);
        Vector3 v = new Vector3(1, 1, 1);

        // 计算 t 值
        double t = (D - A*P0.x - B*P0.y - C*P0.z) / (A*v.x + B*v.y + C*v.z);

        // 判断是否相交
        if (t >= 0 && t <= 1)
        {
            Console.WriteLine("线与平面相交");

            // 计算交点坐标
            Vector3 intersection = P0 + t*v;
            Console.WriteLine("交点坐标：({0}, {1}, {2})", intersection.x, intersection.y, intersection.z);
        }
        else
        {
            Console.WriteLine("线与平面不相交");
        }
    }
}

struct Vector3
{
    public double x, y, z;

    public Vector3(double x, double y, double z)
    {
        this.x = x;
        this.y = y;
        this.z = z;
    }

    public static Vector3 operator +(Vector3 a, Vector3 b)
    {
        return new Vector3(a.x + b.x, a.y + b.y, a.z + b.z);
    }

    public static Vector3 operator *(Vector3 a, double b)
    {
        return new Vector3(a.x * b, a.y * b, a.z * b);
    }
}