title: Rotateing vector on plane in 3D
body: <p>I have to define a yellow vector from the picture below. That what I know, is the dark green vector and the vertical plane. The angle between lime and dark green vector is 90 degrees. </p>
  
  <p>What i can do is the equation of plane. And i know the rotation of vector in plane but only in 2D dimensional.</p>
  
  <p>So i figured that if i rotate the dark green vector in this plane by 90 degrees, and than move that new vector by dark green vector i would create lime vector. After that i will add that lime vector and dark green vector to define yellow vector.</p>
  
  <p>At the begining i know dark green vector and our plane.</p>
  
  <p><a href="http://i.stack.imgur.com/LsMp4.png" rel="nofollow">Graphical representation of the problem</a></p>
  
  <p>Thank you in advance for Your help</p>