If
and
find ![]()
Given
,
and![]()
We know the cross product of two vectors
and
forming an angle θ is
![]()
where
is a unit vector perpendicular to
and ![]()
![]()
is a unit vector ![]()
⇒ 8 = 2 × 5 × sin θ × 1
⇒ 10 sin θ = 8
![]()
We also have the dot product of two vectors
and
forming an angle θ is
![]()
![]()
But, we have sin2θ + cos2θ = 1
![]()



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