Let u^\hat{u}u^ and v^\hat{v}v^ be unit vectors inclined at an acute angle such that ∣u^×v^∣=32\left| \hat{u} \times \hat{v} \right| = \dfrac{\sqrt{3}}{2}∣u^×v^∣=23. If A⃗=λu^+v^+(u^×v^)\vec{A} = \lambda \hat{u} + \hat{v} + (\hat{u} \times \hat{v})A=λu^+v^+(u^×v^). Then λ is equal to :
43(A⃗⋅u^)−23(A⃗⋅v^)\dfrac{4}{3} (\vec{A} \cdot \hat{u}) - \dfrac{2}{3} (\vec{A} \cdot \hat{v})34(A⋅u^)−32(A⋅v^)
23(A⃗⋅u^)−13(A⃗⋅v^)\dfrac{2}{3} (\vec{A} \cdot \hat{u}) - \dfrac{1}{3} (\vec{A} \cdot \hat{v})32(A⋅u^)−31(A⋅v^)
43(A⃗⋅u^)+23(A⃗⋅v^)\dfrac{4}{3} (\vec{A} \cdot \hat{u}) + \dfrac{2}{3} (\vec{A} \cdot \hat{v})34(A⋅u^)+32(A⋅v^)
(A⃗⋅u^)−12(A⃗⋅v^)(\vec{A} \cdot \hat{u}) - \dfrac{1}{2} (\vec{A} \cdot \hat{v})(A⋅u^)−21(A⋅v^)