The
cross product
on fulfills the following properties
(where
and
).
- We have
-
- We have
-
and
-
- We have
-
if and only if
and
are
linearly dependent.
- We have
-
- We have
-
where denotes the formal evaluation
in the sense of the
standard inner product.
- We have
-
where denotes the formal evaluation in the sense of the standard inner product.