title: Plane point rotation to a specific plane
body: <p>I have a system where one axis is moving from [0 -&gt; 2PI]. This movement generates an angled plane. <a href="https://i.stack.imgur.com/5qKWY.gif" rel="nofollow noreferrer">Axis movement</a>.</p>
  <p>This yellow plane will be my target plane. I know the normal vector of this yellow plane and its constant. For me to calculate XYZ position on the yellow plane based on the rotation value of the axis (tool). I've come to a &quot;solution&quot; to first calculate what is the XYZ coordinate for a simpler plane <a href="https://i.stack.imgur.com/aaDio.jpg" rel="nofollow noreferrer">vertical plane [1 0 0] as normal vector</a> as I know the sphere origin and also the radius then it is easy to calculate any XYZ position based on the axis angle.</p>
  <p>But my probelm is that now that I have the XYZ position on the gray plane: how can get my XYZ position to the corresponding position on the yellow plane? <a href="https://i.stack.imgur.com/Q8NI6.jpg" rel="nofollow noreferrer">From gray plane to yellow plane</a> Any suggestions would be appreciated.</p>