Unformatted text preview: in R 2 , i.e., a free subgroup of rank 2 of the additive group of the vector space R 2 . We picture it as follows: Fig.1 The area A ( v , w ) of the parallelogram formed by the vectors v and w is given by the formula A ( v , w ) 2 = det ± v · v v · w v · w w · w ² . 1...
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 Fall '09
 ONTONKONG
 Number Theory, Group Theory, Vectors, Quadratic form, Disquisitiones Arithmeticae, vector space R2

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