Vector Algebra

If the volume of the parallelopiped is \(158 \mathrm{~cu}\). units whose coterminus edges are given by the vectors \(\bar{a}=(\hat{i}+\hat{j}+n \hat{k}), \bar{b}=2 \hat{i}+4 \hat{j}-n \hat{k}\) and \(\bar{c}=\hat{i}+n \hat{j}+3 \hat{k}\), where \(n \geq 0\), then the value of \(n\) is