Question:
The unit vector perpendicular to the vectors \( 6i + 2j + 3k \) and \( 3i - 6j - 2k \) is:
The unit vector perpendicular to the vectors \( 6i + 2j + 3k \) and \( 3i - 6j - 2k \) is:
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The cross product of two vectors gives a vector perpendicular to both, and normalizing it gives the unit vector.
Updated On: Mar 25, 2026
- \( \frac{2i - 3j - 6k}{7} \)
- \( \frac{2i - 3j + 6k}{7} \)
- \( \frac{2i + 3j - 6k}{7} \)
- None of these
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Find the cross product.
To find the unit vector perpendicular to both vectors, we first find the cross product and then normalize the resulting vector. The correct unit vector is \( \frac{2i + 3j - 6k}{7} \).
Thus, the correct answer is (3).
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