The unit vector perpendicular to the vectors i - j + k and 2 i +3 j - k is:
Mathematics · JEE Main · NTA Exams — Vector Algebra
The unit vector perpendicular to the vectors \(\vec{i}-\vec{j}+\vec{k} \text { and } 2 \vec{i}+3 \vec{j}-\vec{k}\) is:
- \(\frac{-2 \vec{i}+3 \vec{j}+5 \vec{k}}{\sqrt{30}}\)
- \(\frac{-2 \vec{i}+5 \vec{j}+6 \vec{k}}{\sqrt{38}}\)
- \(\frac{-2 \vec{i}+3 \vec{j}+5 \vec{k}}{\sqrt{38}}\)
- None of these
Answer
(C) -2 i +3 j +5 k 38
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