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,


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