CHE/MAE 294 F01 Homework 4 Solution 17.Sept.01
> restart:
Problem 1
Formulations
Use the linear algebra package. Define coordinate points as a matr ix and solution as a vector.
> with(LinearAlgebra):
Points := Matrix([[0,2,-4],[1,3,-4],[2,1,1]]); Identity := Vector([1,1,1]);
:= Points
02-4
13-4
21 1
:= Identity
1
1
1
Equatio n of Plane Solution
Use the LinearSolve package to find solution to equation of a plane.
> MIPlane := LinearSolve(Points,Identity);
:= MIPlane
5
2
-5
2
-3
2
Reduce fractions.
> MIPlane*2;
5
-5
-3
this is the (5 bar5 bar3) plane
