Find a unit vector perpendicular to both the vectors \( (2 \hat{i}+...

Find a unit vector perpendicular to both the vectors \( (2 \hat{i}+3 \hat{j}+\hat{k}) \) and \( (\hat{i}-\hat{j}+2 \hat{k}) \).
(1) \( (7 \hat{i}+3 \hat{j}-5 \hat{k}) / \sqrt{83} \)
(2) \( \quad(7 \hat{i}-3 \hat{j}-5 \hat{k}) / \sqrt{83} \)
(3) \( \quad(7 \hat{i}+3 \hat{j}+5 \hat{k}) / \sqrt{83} \)
(4) \( (-7 \hat{i}+3 \hat{j}-5 \hat{k}) / \sqrt{83} \)