Question:
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
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
Updated On: Oct 4, 2024
- \(-\overrightarrow{j}+\overrightarrow{k}\)
- \(\frac{1}{\sqrt2}(-\overrightarrow{j}+\overrightarrow{k})\)
- \(\frac{1}{3}(-\overrightarrow{j}+\overrightarrow{k})\)
- \(\frac{1}{\sqrt3}(-\overrightarrow{j}+\overrightarrow{k})\)
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The Correct Option is B
Solution and Explanation
The correct option is (B): \(\frac{1}{\sqrt2}(-\overrightarrow{j}+\overrightarrow{k})\)
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