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 \( \pm \frac{1}{\sqrt{134}}(10 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}+11 \hat{\mathrm{k}}) \)

Correct Answer: Option A