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Solution 125670

Submitted on 9 Aug 2012 by yuval tr

Correct

10Size
This is the leading solution.
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Test Suite

Test
Code Input and Output
1
Pass
 
%%
vectors=[1 0 0;0 1 0;0 0 1]; % Unity Cube
V=1;
assert(isequal(Parallelepiped_volume(vectors),V))

                    
2
Pass
 
%%
vectors=[2 0 0;0 2 0;0 0 2]; % 2x2x2 Cube
V=8;
assert(isequal(Parallelepiped_volume(vectors),V))

                    
3
Pass
 
%%
vectors=[2 0 0;0 2 0;1 0 1]; % Slanted one side 45 degrees, half h
V=4;
assert(isequal(Parallelepiped_volume(vectors),V))

                    
4
Pass
 
%%
vectors=[2^0.5 2^0.5 0;-2^0.5 2^0.5 0;0 0 2]; % Rot 45,
V=8;
assert(V-.001<Parallelepiped_volume(vectors) && Parallelepiped_volume(vectors)<V+.001)

                    
5
Pass
 
%%
vectors=[2^0.5 2^0.5 0;-2^0.5 2^0.5 0;0 1 1]; % Rot 45, Slant 45, h/2
V=4;
assert(V-.001<Parallelepiped_volume(vectors) && Parallelepiped_volume(vectors)<V+.001)