Projected plane area?

Questions & Answers
1

I’m beginner in coding and i faced this problem:
I have a rotated plane in xyz, and a game object.
I need the projected plane area form other game object plane of view.

109155-rotated-plane-area.png
109155-rotated-plane-area.png1152×648 16.6 KB

How should i get the projected plane area?

2

Ok for a sail on a sailboat you need two things:

  • Calculate the actual area that the sail has.
  • You also need the normal vector of the sail. So the vector that is perpendicular to the surface of the sail.

Now all you have to do is this:

float affectedArea = sailArea * Mathf.Abs (Vector3.Dot(windDir, sailNormal));

Note that windDir as well as sailNormal need to be normalized vectors (vectors with a length of 1.0). If your sail is a gameobject you can simply get the normal from one of the local axis vectors (forward, right, up) which are already normalized. Just pick the right one. sailArea is just a float value which should be equal to the area of your sail.