Mathematics

Problem

If the volume of the parallelepiped whose conterminous edges are represented by

-12\hat{i} + \lambda\hat{k}

3\hat{j} - \hat{k}

2\hat{i} + \hat{j} - 15\hat{k}

is 546, then

\lambda

equals- (A) 3 (B) 2 (C) -3 (D) -2