1.
ABC is a right-angled triangle in which max{AB, BC, AC} = BC. If the position vectors of B and C are respectively 3i^2j^+k^3\hat{i} - 2\hat{j} + \hat{k} and 5i^+j^3k^5\hat{i} + \hat{j} - 3\hat{k}, then ABAC+BABC+CACB=\overrightarrow{AB} \cdot \overrightarrow{AC} + \overrightarrow{BA} \cdot \overrightarrow{BC} + \overrightarrow{CA} \cdot \overrightarrow{CB} =