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CBSE Class 12 Mathematics 2026 Main Paper 65(B) · Q242 Markscross_products

CBSE Class 12 Mathematics 2026 Main Paper 65(B) · Question 24 (Vector Algebra)

Find a unit vector perpendicular to AB and BC, with A=(3,−1,2), B=(1,−1,−3), C=(4,−3,1).

✅ Step-by-Step Solution

Final Answer: Either sign of (−10,−7,4)/√165.
  1. AB=(−2,0,−5) and BC=(3,−2,4).
  2. Their cross product is (−10,−7,4), with norm √165.
  3. Divide by the norm. Either orientation is valid.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] AB=(−2,0,−5) and BC=(3,−2,4).
  • [1 mark] Their cross product is (−10,−7,4), with norm √165.
  • [0.5 marks] Divide by the norm. Either orientation is valid.

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All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65(B)

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