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.