A) \[\frac{1}{\sqrt{3}}(-i+j+k)\]
B) \[(-\mathbf{i}+\mathbf{j}+\mathbf{k})\]
C) \[\frac{(i+j-k)}{\sqrt{3}}\]
D) None of these
Correct Answer: A
Solution :
Unit vector \[=\frac{(\mathbf{i}-2\mathbf{j}+3\mathbf{k})\times (\mathbf{i}+2\mathbf{j}-\mathbf{k})}{|(\mathbf{i}-2\mathbf{j}+3\mathbf{k})\,\times (\mathbf{i}+2\mathbf{j}-\mathbf{k})|}=\frac{-\,i+j+k}{\sqrt{3}}.\]
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