# Vector and Algebra

**Geometry**Level 4

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