Plücker coordinates of the line u are given by

where the underline denotes the left complement. The left complement of the wedge product of right complements is called the antiwedge product, denoted by a downward pointing wedge, allowing us to write

Clifford product

W. K. Clifford combined multivectors with the inner product defined on the vector space, in order to obtain a general construction for hypercomplex numbers

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