Finding coordinates of a point between two points?

Question

Doing some 3D stuff in wpf- want to use a simpler test to see if everything is working (before moving to curves).

The basic question is given two points x1,y1,z1 and

Answer 1

Let t vary from 0 to 1. Use the following:

(x3, y3, z3) = (1-t)*(x1, y1, z1) + t*(x2, y2, z2)

When t=0 you get the first point. When t=1 you get the second.

This method is called linear interpolation.