title: map points between two triangles in 3D space
body: <p><strong>EDIT</strong></p>
  
  <p><strong>I don't know is it important, but destination triangle angles may be different than these of source. Does that fact makes transformation non-affine ? (i'm not sure)</strong></p>
  
  <p><img src="https://i.stack.imgur.com/uDlay.png" alt="alt text"></p>
  
  <p>I have two triangles in 3D space. Given that i know (x,y,z) of point in first triangle and i know vectors V1,V2,V3. I need to find point (x',y',z'). What transformation i should do to point (x,y,z) with vectors V1,V2,V3 to get that transformed point in the second triangle ?</p>
  
  <p>Thanks for help !!! </p>