The unit vector nomal (perpendicular) to the plane made by two vectors \( \vec{A} = 2 \hat{i} - 6 \hat{j} - 3 \hat{k} \) and \( \vec{B} = 4 \hat{i} + 3 \hat{j} - \hat{k} \) is:

A \( \pm \frac{1}{7} \left ( 4 i - j - 3 k \right ) \)

B \( \pm \frac{1}{7} \left ( i - 4 j + 3 k \right ) \)

C \( \pm \frac{1}{7} \left ( 2 i - 3 j + 6 k \right ) \)