Question:

The unit vectors orthogonal to the vector\(-\hat{i}+2\hat{j}+2\hat{k}\) and making equal angles with the x and y axis is (are)

Updated On: Mar 17, 2025
  • \(\pm\frac{1}{3}(2\hat{i}+2\hat{j}-\hat{k})\)
  • \(\pm\frac{1}{3}(\hat{i}+\hat{j}-\hat{k})\)
  • \(\pm\frac{1}{3}(2\hat{i}-2\hat{j}-2\hat{k})\)
  • \(\pm\frac{1}{3}(\hat{i}-2\hat{j}-2\hat{k})\)
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The Correct Option is A

Solution and Explanation

The correct answer is(A): \(\pm\frac{1}{3}(2\hat{i}+2\hat{j}-\hat{k})\)
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