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CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Q242 Marksvector_median

CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Question 24 (Vector Algebra)

If AB=(2,3,1) and AC=(2,1,−1), find the vector of the median through A.

✅ Step-by-Step Solution

Final Answer: (2,2,0).
  1. Let D be the midpoint of BC.
  2. Then AD=(AB+AC)/2 by the midpoint rule.
  3. Average the components to get (2,2,0).

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Let D be the midpoint of BC.
  • [1 mark] Then AD=(AB+AC)/2 by the midpoint rule.
  • [0.5 marks] Average the components to get (2,2,0).

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