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Question: Equation of a sphere (4)

Question:Equation of a sphere (4)

toandhsp 300 Maple
geom3d sphere
February 15 2012
0

Write the equation of the sphere has its centre at C(1, 2, 3) and cut the  straight line

Delta: x = t+1, y = t-1, z = -t at the points A and B so that the triangle ABC is a equilateral triangle.

This is my code.

with(geom3d):

point(C,1,2,3):

line(Delta,[t+1,t-1,-t],t):

d:=distance(C,Delta):

R:=(2*d)/sqrt(3):

Equation(sphere(S,[C,R],[x,y,z]));

Eq:=Student[Precalculus][CompleteSquare](Equation(S));


Please comment to me. Thank you very much.
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