Class 12 Vector Algebra · Conceptual Answer1 Marksorthogonality
Class 12 Maths · Vector Algebra · Conceptual Answer #35
How many unit vectors are perpendicular to both (2,1,2) and (0,1,1)?
✅ Step-by-Step Solution
Final Answer: Two: ±(−1,−2,2)/3.
- Their cross product is (−1,−2,2), of norm 3. Only its two opposite unit directions are perpendicular to both independent vectors.
- Two: ±(−1,−2,2)/3.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Their cross product is (−1,−2,2), of norm 3. Only its two opposite unit directions are perpendicular to both independent vectors.
- [0.5 marks] Two: ±(−1,−2,2)/3.
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