The unit vector perpendicular to the plane formed by the following vectors is: \(\vec{A}=2\hat{i}-3\hat{j}-\hat{k}$; \(\vec{B}=\hat{i}+4\hat{j}-2\hat{k}\)
A. \(\pm\frac{1}{\sqrt{230}}(10\hat{i}+3\hat{j}+11\hat{k})\)
B. \(\pm\frac{1}{\sqrt{19}}(3\hat{i}+\hat{j}-11\hat{k})\)
C. \(\pm\frac{1}{\sqrt{51}}(2\hat{i}+3\hat{j}+11\hat{k})\)
D. \(\pm\frac{1}{\sqrt{134}}(10\hat{i}-3\hat{j}+11\hat{k})\)
