Unity script for object to follow mouse position. https://youtu.be/sa8tlx9tD-w

Follow.cs

using System.Collections;
using System.Collections.Generic;
using UnityEngine;

public class Follow : MonoBehaviour {
    public Material characterMarkerMat;

	// Use this for initialization
	void Start () {
		
	}
	
	// Update is called once per frame
	void Update () {
        Ray ray = Camera.main.ScreenPointToRay(Input.mousePosition);
        RaycastHit hit;

        if(Physics.Raycast(ray,out hit)){
            Vector3 mousePos = hit.point;

            Vector3 dir = hit.point - transform.position;
            dir.y = 0;

            float speed = 0.1f;
            if(dir.magnitude > speed)
            {
                dir.Normalize();
                transform.Translate(dir * speed);
            }

            Vector3 spherePos = transform.position;
            spherePos.y = 0;
            characterMarkerMat.SetVector("Vector3_337113A", spherePos );
        }
	}
}