Find the angle between two vectors
and
if ![]()
Given
.
Let the angle between vectors
and
be θ.
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 ![]()
![]()
![]()
We also have the dot product of two vectors
and
forming an angle θ is
![]()
But, it is given that![]()
![]()
⇒ sin θ = cos θ
⇒ tan θ = 1
![]()
Thus, the angle between two vectors is
.