title: Finding the intersection between two lines
body: <p>So I've been banging my head over this relatively simple algorithm. I'm not sure what's wrong in my code yet I'm not getting the intersection point where they are actually intersecting.</p>
  
  <p>I'm using Unity3D and I'm trying to find the point where two lines intersect, in the x,z plane though not in the x, y plane. I am assuming that the algorithm which works for x,y should work for x,z;</p>
  
  <p>My code:</p>
  
  <pre><code>Vector3 thisPoint1 = thisCar.position + (2 * thisCar.forward);
  Vector3 thisPoint2 = thisCar.position + (20 * thisCar.forward);
  
  Debug.DrawLine(thisPoint1, thisPoint2, Color.white, 2);
  
  Vector3 otherPoint1 = threateningCar.position + (2 * threateningCar.forward);
  Vector3 otherPoint2 = threateningCar.position + (20 * threateningCar.forward);
  
  Debug.DrawLine(otherPoint1, otherPoint2, Color.white, 2);
  
  float A1 = thisPoint2.z - thisPoint1.z;
  float B1 = thisPoint1.x - thisPoint2.x;
  float C1 = A1 * thisPoint1.x + B1 * thisPoint1.z;
  
  float A2 = otherPoint2.z - otherPoint1.z;
  float B2 = otherPoint1.x - otherPoint2.x;
  float C2 = A2 * otherPoint1.z + B2 * otherPoint1.z;
  
  float det = A1 * B2 - A2 * B1;
  
  float x = (B2 * C1 - B1 * C2) / det;
  float z = (A1 * C2 - A2 * C1) / det;
  
  return new Vector3(x, this.transform.position.y, z);
  </code></pre>
  
  <p>Can anyone help into pointing out what I'm doing wrong? </p>
  
  <p><code>thisCar.forward</code> and <code>threateningCar.forward</code> are usually either <code>[0,0,1], [0,0,-1]</code> or <code>[1,0,0], [-1,0,0]</code></p>