The unit vector perpendicular to vectors i + j and j + k is

Mathematics · JEE Main · NTA ExamsThree Dimensional Geometry

The unit vector perpendicular to vectors \(\hat{i}+\hat{j} \text { and } \hat{j}+\hat{k}\)is
  1. \(\frac{1}{\sqrt{3}}(\hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}})\)
  2. \(\frac{1}{\sqrt{3}}(\hat{\mathrm{i}}+\hat{\mathrm{j}}-\hat{\mathrm{k}})\)
  3. \(\frac{1}{\sqrt{3}}(\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}})\)
  4. none of these

Answer

(A) 1 3 ( i - j + k )

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