1. Tardigrade
  2. Question
  3. Mathematics
  4. The unit vector perpendicular to the vectors hat i - hat j and hat i + hat j forming a right handed system is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The unit vector perpendicular to the vectors $\hat{ i }-\hat{ j }$ and $\hat{ i }+\hat{ j }$ forming a right handed system is

Vector Algebra

Solution:

Required unit vector is $\pm \frac{(\hat{i}-\hat{j}) \times(\hat{i}+\hat{j})}{|(\hat{i}-\hat{j}) \times(\hat{i}+\hat{j})|}=\pm \frac{2 \hat{k}}{2}=\pm \hat{k}$