Perp Dot Product
The "perp dot product" 
for
and 
vectors in the
plane is a modification of the two-dimensional dot product
in which 
is replaced by the perpendicular
vector rotated 
to the left defined by Hill
(1994). It satisfies the identities
 |  |  |
(1)
|
 |  |  |
(2)
|
where 
is the angle from vector 
to vector 
.
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vector algebra