Find the equation of the plane containing the points (1; 0; 0), (0; 2; 0) and (2; 1; 3).
If the three points are u,v,w then
(v-u)x(w-u) =
| x y z |
| -1 2 0 |
| 1 1 3 |
= 6x+2y-3z
plug in any of the points and you have
6x+2y-3z = 6
(v-u)x(w-u) =
| x y z |
| -1 2 0 |
| 1 1 3 |
= 6x+2y-3z
plug in any of the points and you have
6x+2y-3z = 6