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Class 12 Vector Algebra · Conceptual Answer1 Marksdot_product

Class 12 Maths · Vector Algebra · Conceptual Answer #95

If a·a=0 and a·b=0 for real Euclidean vectors, what can be concluded about b?

✅ Step-by-Step Solution

Final Answer: b may be any vector.
  1. a·a=|a|²=0 implies a=0. Then a·b=0 holds for every b and places no restriction on b.
  2. b may be any vector.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] a·a=|a|²=0 implies a=0. Then a·b=0 holds for every b and places no restriction on b.
  • [0.5 marks] b may be any vector.

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