Question:medium

A unit vector coplanar with \(\mathbf{i} + \mathbf{j} + 2\mathbf{k}\) and \(\mathbf{i} + 2\mathbf{j} + \mathbf{k}\) and perpendicular to \(\mathbf{i} + \mathbf{j} + \mathbf{k}\) is

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Use linear combination and orthogonality conditions.
Updated On: Apr 23, 2026
  • \(\frac{\mathbf{j} - \mathbf{k}}{\sqrt{2}}\)
  • \(\frac{\mathbf{i} + \mathbf{j} + \mathbf{k}}{\sqrt{3}}\)
  • \(\frac{\mathbf{i} + \mathbf{j} + 2\mathbf{k}}{\sqrt{6}}\)
  • \(\frac{-\mathbf{j} + 2\mathbf{k}}{\sqrt{5}}\)
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The Correct Option is A

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