Define
and prove that
where θ is the angle between
and ![]()
Cross Product: The vector or cross product of two non-zero vectors
and
, denoted by
, is defined as
![]()
where θ is the angle between
and
, 0≤θ≤π and
is a unit vector perpendicular to both
and
, such that
,
and
form a right handed system.
We have![]()
![]()
is a unit vector ![]()
![]()
![]()
But, we have the dot product of two vectors
and
forming an angle θ as![]()
Now, we divide these two equations.



![]()
Thus,![]()