Author 
Comment/Response 
Jeff

09/23/08 11:55am
I have 3 points which I've graphed, where if they're connected they generate a plane.
ListPlot3D[{{1, 3, 2}, {3, 4, 2}, {1, 1, 0}}, Mesh > All,
AxesLabel > {x, y, z}]
I crossed 2 vectors to form a vector normal to the plane, and used the direction numbers to find an equation of the plane:
Cross[{2, 1, 4}, {2, 3, 2}]
{14, 4, 8}
So now with the direction numbers and using point (3,4,2)
12(x  3)  4(y  4) + 8(z  2) = 0
= 12x + 36  4y +16 +8z 16 = 0
= 12x 4y +8z = 36
.... dividing by 4 on both sides
3x  y +2z = 9 so this is the equation of the plane.
How can I verify graphically that the plane I derived with the equation, is the plane in my original plot?
Thanks,
Jeff
Attachment: p42 Lesson 11.5.nb, URL: , 
