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CGP EDU Academic Team
Published on: September 12, 2026
In above example a unit vector perpendicular to both \vec{A} and \vec{B} will be
Text Solution
Verified by ExpertsThe correct answer is:
C
\(\hat{n} = \frac{\vec{A} \times \vec{B}}{|\vec{A} \times \vec{B}|} = \frac{8\hat{i} - 8\hat{j} - 8\hat{k}}{8\sqrt{3}} = \frac{1}{\sqrt{3}}(\hat{i} - \hat{j} - \hat{k})\)
There are two unit vectors perpendicular to both \vec{A} and \vec{B} they are \(\hat{n} = \pm \frac{1}{\sqrt{3}} (\hat{i} - \hat{j} - \hat{k})\)
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