Updating world coordinate according to world points

Question

Hi everybody!
I have found two points lying on a plane, let's say:
worldPoint1 coordinates would be (0,-0.5,1)
worldPoint2 coordinates would be (2.5,-0.5,1)
As far as I understand, the Y coordinates of those two points are identical since they exist on the same plane and are equal to -0.5 since the plane is 0.5m down from the world point where I opened my app. X and Z coordinates are relative to the point I opened the app too.
Now, since I have two points on a plane, I can define my space in an absolute way, right? That way I won't be dependent on the point the camera was when I opened my app and when I "tell" an object to move "right" it will go from worldPoint1 to worldPoint2 no matter where I opened the app and where I stood while clicking the points.
So, what I want to do is aligning the unity's world coordinate system, so the (0,0,0) will be at worldPoint1, (2.5,0,0) will be at worldPoint2 (2.5 cause there is 2.5m distance in the real world between those two points) and up direction will be the normal to the surface.
How can I do that? :)
Thanks!

Answer 1

Maybe this is what you had in mind?

Create an empty object and attach this script.

It will create 3 test objects for you.

Use WSAD to move the green cube according to the red and blue cubes (worldpoint 1 and 2).

As you wrote, moving right goes from worldpoint1 towards worldpoint2.

Moving the red and blue cubes will affect the "right" axis.

 // The two world point vectors you mentioned
 public Vector3 worldPoint1;
 public Vector3 worldPoint2;

 // (TEST) These two are used to move the world points around while testing
 public Transform worldPoint1_Transform;
 public Transform worldPoint2_Transform;
     
 // (TEST)
 // This object can be moved using the keys
 public Transform movingObject_Transform;
 public float     movingObjectSpeed = 3;


 private void Update ()
 {
     // You may not need these 2 lines. I had two objects in the scene as world points
     worldPoint1 = worldPoint1_Transform.position;
     worldPoint2 = worldPoint2_Transform.position;

     // Calculate the forward rotation from the two world points
     var rotationForward = Quaternion.LookRotation (worldPoint2 - worldPoint1) * Quaternion.Euler (0,  -90,  0);
         
     if (Input.GetKey (KeyCode.W))
     {
         // Move forward
         movingObject_Transform.position += rotationForward * Vector3.forward * movingObjectSpeed * Time.deltaTime;
     }

     if (Input.GetKey (KeyCode.S))
     {
         // Move backward
         movingObject_Transform.position += rotationForward * -Vector3.forward * movingObjectSpeed * Time.deltaTime;
     }

     if (Input.GetKey (KeyCode.A))
     {
         // Move left
         movingObject_Transform.position += rotationForward * -Vector3.right * movingObjectSpeed * Time.deltaTime;
     }

     if (Input.GetKey (KeyCode.D))
     {
         // Move right
         movingObject_Transform.position += rotationForward * Vector3.right * movingObjectSpeed * Time.deltaTime;
     }
 }


 private void Awake ()
 {
     // (TEST)
     // Creates 3 test cubes in the scene: "WorldPoint 1", "WorldPoint 2" and "Moving Object"

     Transform spawnContainer = new GameObject ("Test Objects").transform;
     spawnContainer.parent = transform;

     worldPoint1_Transform  = GameObject.CreatePrimitive (PrimitiveType.Cube).transform;
     worldPoint2_Transform  = GameObject.CreatePrimitive (PrimitiveType.Cube).transform;
     movingObject_Transform = GameObject.CreatePrimitive (PrimitiveType.Cube).transform;

     worldPoint1_Transform.name  = "WorldPoint 1";
     worldPoint2_Transform.name  = "WorldPoint 2";
     movingObject_Transform.name = "Moving Object";

     worldPoint1_Transform.parent  = spawnContainer;
     worldPoint2_Transform.parent  = spawnContainer;
     movingObject_Transform.parent = spawnContainer;

     worldPoint1_Transform.position  = new Vector3 (0, 0, 5);
     worldPoint2_Transform.position  = new Vector3 (5, 0, 0);
     movingObject_Transform.position = new Vector3 (0, 0, 0);

     worldPoint1_Transform.GetComponent <Renderer> ().material.color  = Color.red;
     worldPoint2_Transform.GetComponent <Renderer> ().material.color  = Color.blue;
     movingObject_Transform.GetComponent <Renderer> ().material.color = Color.green;
 }

Updating world coordinate according to world points

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