Question:
Which one of the following is the unit vector perpendicular to both
a = - i + j + k and b = i - j + k?
Which one of the following is the unit vector perpendicular to both
a = - i + j + k and b = i - j + k?
Show Hint
Perpendicular direction is given by cross product.
Updated On: Mar 18, 2026
- i+ j\sqrt2
- k
- j+ k\sqrt2
- i- j\sqrt2
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Required direction is a × b.
Step 2: a × b = 2( i+ j)
Step 3: Unit vector: ( i+ j)/(\sqrt2)
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