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Class 12 Vector Algebra · Conceptual Answer1 Marksvector_identities

Class 12 Maths · Vector Algebra · Conceptual Answer #43

If |a| = 1/2, |b| = 4/√3 and |a × b| = 1/√3, find |a · b|.

✅ Step-by-Step Solution

Final Answer: 1.
  1. Lagrange’s identity gives (a · b)² = (1/4)(16/3) − 1/3 = 1. The absolute dot product is 1; the angle may be acute or obtuse.
  2. 1.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Lagrange’s identity gives (a · b)² = (1/4)(16/3) − 1/3 = 1. The absolute dot product is 1; the angle may be acute or obtuse.
  • [0.5 marks] 1.

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