Vector and Algebra

Geometry Level 4

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

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