If the resultant of the vectors ( i +2 j - k ), ( i - j +2 k ) and C is a unit vector…

Physics · JEE Main · NTA ExamsPhysics and Measurement

If the resultant of the vectors \((\hat{i}+2 \hat{j}-\hat{k}),\)\((\hat{i}-\hat{j}+2 \hat{k})\) and \(\overrightarrow{\mathrm{C}}\) is a unit vector along the y-direction, then \(\overrightarrow{\mathrm{C}}\) is
  1. \(-2 \hat{\mathrm{i}}-\hat{\mathrm{k}}\)
  2. \(-2 \hat{\mathrm{i}}+\hat{\mathrm{k}}\)
  3. \(2 \hat{\mathrm{i}}-\hat{\mathrm{k}}\)
  4. \(2 \hat{\mathrm{i}}+\hat{\mathrm{k}}\)

Answer

(A) -2 i - k

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