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,