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CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Q242 Marksunit_vectors

CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Question 24 (Vector Algebra)

In parallelogram PQRS, PQ=(2,3,1) and QR=(1,−2,1). Find unit vectors in the directions PR and SQ.

✅ Step-by-Step Solution

Final Answer: (3,1,2)/√14 and (1,5,0)/√26.
  1. Add PQ and QR to get PR=(3,1,2).
  2. Since PS=QR, subtract QR from PQ to get SQ=(1,5,0).
  3. Divide the two vectors by their norms √14 and √26.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Add PQ and QR to get PR=(3,1,2).
  • [1 mark] Since PS=QR, subtract QR from PQ to get SQ=(1,5,0).
  • [0.5 marks] Divide the two vectors by their norms √14 and √26.

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All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/4/3

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