Which one is the unit vector perpendicular to the plane formed by the following vectors: \( \vec{A} = 2\hat{i} - 3\hat{j} - \hat{k} \) \( \vec{B} = \hat{i} + 4\hat{j} - 2\hat{k} \)
A \( \frac{1}{\sqrt{134}} (2\hat{i} + 3\hat{j} + 11\hat{k}) \)
B \( \frac{1}{\sqrt{19}} (3\hat{i} + \hat{j} - 3\hat{k}) \)
C \( \frac{1}{\sqrt{51}} (\hat{i} - 7\hat{j} + \hat{k}) \)
D \( \frac{1}{\sqrt{230}} (10\hat{i} + 3\hat{j} + 11\hat{k}) \)
Solution
Correct Answer: Option B
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