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coordinates.

A line as the intersection of two planes: A line u in projective space can also be defined as the set of points x that form the intersection of two planes ? and ? defined by grade three multivectors, so the points x are the solutions to the linear equations

:

In order to obtain the Plucker coordinates of the line u, map the multivectors ? and ? to their dual point coordinates using the right complement, denoted by an overline, as in

:

then

:

So, the

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