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Suppose two vectors and in two dimensional space are given which do not lie on the same line. These two vectors form two sides of a parallelogram.
It can be shown that the area of this parallelogram ( which is the product of base and altitude ) is equal to the length of the cross product of these two vectors.
So the area of this parallelogram is the absolute value of the determinant of
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Subsections
Ali A. Daddel
2000-09-15