A) \[\frac{2\mathbf{i}-3\mathbf{j}+6\mathbf{k}}{7}\]
B) \[\frac{2\mathbf{i}-3\mathbf{j}-6\mathbf{k}}{7}\]
C) \[\frac{2\mathbf{i}+3\mathbf{j}-6\mathbf{k}}{7}\]
D) \[\frac{2\mathbf{i}+3\mathbf{j}+6\mathbf{k}}{7}\]
Correct Answer: C
Solution :
Unit vector perpendicular to both the given vectors is, \[\frac{(6\mathbf{i}+2\mathbf{j}+3\mathbf{k})\times (3\mathbf{i}-6\mathbf{j}-2\mathbf{k})}{|(6\mathbf{i}+2\mathbf{j}+3\mathbf{k})\times (3\mathbf{i}-6\mathbf{j}-2\mathbf{k})|}=\frac{2\mathbf{i}+3\mathbf{j}-6\mathbf{k}}{7}\].You need to login to perform this action.
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