CS1519 List Error

A Vector3 constructor requires 3 parameters - x,y, and z. So:

 Vector3 vector = new Vector3 (0, 0);

Should be:

 Vector3 vector = new Vector3 (0, 0, 0);

and likewise for the other Vector3's.

edit:

Ack! Scrap that (although I still recommend you explicitly set all parameters of a Vector3) - the problem is that you're trying to populate the PatrolPoint list in the class definition outside of a method. You need to move those lines to the Start() function like this:

     using UnityEngine;
     using System.Collections;
     using System.Collections.Generic;
      
     public class NewBehaviourScript : MonoBehaviour {
        List <Vector3> PatrolPoint = new List<Vector3>();
     
        Vector3 NxPatrolPoint = PatrolPoint[0];
        int pointIndex = 0;
        public int speed = 10f;

     // Use this for initialization
     void Start () {
       Vector3 vector = new Vector3 (0, 0);
       PatrolPoint.Add(vector); //these line gets an error
       PatrolPoint.Add(new Vector3(10,10)); //so do these two
       PatrolPoint.Add(new Vector3(0,10));
     }
      
     // Update is called once per frame
     void Update () {
       transform.Translate (NxPatrolPoint * speed);
       if (transform.position = NxPatrolPoint) {
         if(transform.position = PatrolPoint.Last()){
           pointIndex = 0;
         }
       NxPatrolPoint = PatrolPoint[pointIndex];
       }
      
     }
 }