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#ActualParadigm Shifter

Posted 07 July 2013 - 12:10 PM

As long as the basis vectors are linearly independent (so cross product of any 2 pairs is not the zero vector, or the determinant of the matrix formed by the 3 basis vectors is non-zero) you would be ok.

 

EDIT: Not sure if cross product pairs is a good enough test for coplanarity (i.e. I think I'm wrong), I'm on the beer again. The determinant test should be fine though.


#2Paradigm Shifter

Posted 07 July 2013 - 12:10 PM

As long as the basis vectors are linearly independent (so cross product of any 2 pairs is not the zero vector, or the determinant of the matrix formed by the 3 basis vectors is non-zero) you would be ok.

 

EDIT: Not sure if cross product pairs is a good enough test for coplanarity, I'm on the beer again. The determinant test should be fine though.


#1Paradigm Shifter

Posted 07 July 2013 - 12:06 PM

As long as the basis vectors are linearly independent (so cross product of any 2 pairs is not the zero vector, or the determinant of the matrix formed by the 3 basis vectors is non-zero) you would be ok.


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