Find a unit vector perpendicular to both the vectors \( (2 \hat{i}+3 \hat{j}+\hat{k}) \) and \( ...
Find a unit vector perpendicular to both the vectors \( (2 \hat{i}+3 \hat{j}+\hat{k}) \) and \( (\hat{i}-\hat{j}+2 \hat{k}) \).
(a) \( \pm \frac{1}{\sqrt{83}}(7 \hat{i}-3 \hat{j}-5 \hat{k}) \)
(b) \( \pm \frac{1}{\sqrt{63}}(7 \hat{i}-3 \hat{j}-5 \hat{k}) \)
(c) \( \pm \frac{1}{\sqrt{83}}(3 \hat{i}-7 \hat{j}-5 \hat{k}) \)
(d) \( \pm \frac{1}{\sqrt{38}}(7 \hat{i}-5 \hat{j}-3 \hat{k}) \)
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