A unit vector coplanar with \(\overrightarrow{i}+\overrightarrow{j}+2\overrightarrow{k}\) and \(\overrightarrow{i}+2\overrightarrow{j}+\overrightarrow{k}\) and perpendicular to \(\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k}\) is
- \(-\overrightarrow{j}+\overrightarrow{k}\)
- \(\frac{1}{\sqrt2}(-\overrightarrow{j}+\overrightarrow{k})\)
- \(\frac{1}{3}(-\overrightarrow{j}+\overrightarrow{k})\)
- \(\frac{1}{\sqrt3}(-\overrightarrow{j}+\overrightarrow{k})\)
The Correct Option is B
Solution and Explanation
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