# Vector, Tranfrorm, Space ## Vector2, Vector3, Vector4 [Vector3 Docs](https://docs.unity3d.com/ScriptReference/Vector3.html) Used to store positions, velocities and directions. Magnitude = `sqrt(Math.pow(x, 2) + Math.pow(y, 2))` Direction = `(x / Magnitude, y / Magnitude)` The direction is calculated by normalizing the vector to make it become a unit vector (*versor*). ```cs Vector3.x // x coord of vector Vector3.y // x coord of vector Vector3.z // x coord of vector Vector3.magnitude Vector3.normalized Vector3.up // Vector3(0, 1, 0) Vector3.down // Vector3(0, -1, 0) Vector3.left // Vector3(-1, 0, 0) Vector3.right // Vector3(1, 0, 0) Vector3.forward // Vector3(0, 0, 1) Vector3.back // Vector3(0, 0, -1) Vector3.one // Vector3(1, 1, 1) Vector3.zero // Vector3(0, 0, 0) Vector3.one // Vector3(1, 1, 1) ``` ### Operations ```cs Vector3(x, y, z) * n = Vecotr3(xn, yn, yz); Vector3(x, y, z) / n = Vecotr3(x / n, y / n, y / z); Vector3(x1, y1, z1) + Vector3(x2, y2, z2) = Vector3(x1 + x2, y1 + y2, z1 + z2); Vector3(x1, y1, z1) - Vector3(x2, y2, z2) = Vector3(x1 - x2, y1 - y2, z1 - z2); Quaternion.Euler(Vector3) // convert a Vector3 to a Quaternion ``` ### Movement Speed = value m/s Velocity = Direction * Speed MovementInFrame = Speed * timeSinceLastFrame ## Transform [Transform Docs](https://docs.unity3d.com/ScriptReference/Transform.html) ```cs // propetries transfrom.position // Vector3 - global position transfrom.localPosition // Vector3 - local position transform.rotation // Quaternion - global rotation transfrom.parent // Transform - parent of the object transform.localScale = Vector3; // set object dimensions // methods transform.Rotate(Vector3 * Time.deltaTime * speed, Space); // set rotation using vectors in selected space (Space.Self or Space.World) transform.Translate(Vector3 * Time.deltaTime * speed, Space); // set movement in selected space ``` ### Local, GLobal & Object Spcace **Local Space**: Applies transformation relative to the *local* coordinate system (`Space.Self`). **Global Space**: Applies transformation relative to the *world* coordinate system (`Space.World`) ### Parenting Changing the parent will make position, scale and rotation of the child object retalive to the parent but keep the world space's position, rotation and scale the same. Setting the parentele by script: ```cs public class ParentScript : MonoBehaviour { public Transform childTransform; // reference to the child object transfrom childTrandform.parent = transfrom; // when evaluated at runtime sets current object as parent of another } ```