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If a,b,ca, b, ca,b,c are direction cosines of a line and A⃗=ai^+bj^+ck^\vec{A} = a\hat{i} + b\hat{j} + c\hat{k}A=ai^+bj^+ck^, B⃗=bi^+cj^+ak^\vec{B} = b\hat{i} + c\hat{j} + a\hat{k}B=bi^+cj^+ak^, then find the maximum angle θ\thetaθ (in degrees) between A⃗\vec{A}A & B⃗\vec{B}B where θ∈[0,π]\theta \in [0,\pi]θ∈[0,π].
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