Advanced Search

Question: coordinates of a point (2)

Question:coordinates of a point (2)

toandhsp 300 Maple
coordinates
January 28 2012
0 
Problem. Let A(-1,3,-2), B(-3,7,-18), C(2,-1,-3) be three points and (P):
2*x - y +z  + 1 = 0 be a plane. Find the coordinates of the point M lies on the plane (P) so that MA^2 + 2MB^2 + 3MC^2 obtain the minimum value.
This is my code.
restart: with(geom3d):
 A:=:  B:=:  C:=:
M:=: o:=:
eq:=solve([seq(o[i] = (A-M + 2*(B-M) + 3*(C-M))[i], i=1..3)]);
point(T, -1/6, 7/3, -43/6); # put T by my hand
plane(P,2*x - y +z  + 1 = 0,[x,y,z]):
coordinates(projection(H,T,P));
 
Please comment to me about my code. Especially the command
point(T, -1/6, 7/3, -43/6); # put T by my hand. 
Thank you very much.
Please Wait...