Two adjacent sides of a parallelogram are \(2 \hat{i}-4 \hat{j}+5 \hat{k} \) and \(\hat{i}-2 \hat{j}-3 \hat{k}\), then the unit vector parallel to its diagonal is
1
\(\frac{3}{7} \hat{\mathrm{i}}-\frac{6}{7} \hat{\mathrm{j}}+\frac{2}{7} \hat{\mathrm{k}}\)
2
\(\frac{2}{7} \hat{\mathrm{i}}-\frac{6}{7} \hat{\mathrm{j}}+\frac{3}{7} \hat{\mathrm{k}}\)
3
\(\frac{6}{7} \hat{\mathrm{i}}-\frac{2}{7} \hat{\mathrm{j}}+\frac{3}{7} \hat{\mathrm{k}}\)
4
\(\frac{1}{7} \hat{\mathrm{i}}+\frac{1}{7} \hat{\mathrm{j}}-\frac{3}{7} \hat{\mathrm{k}}\)