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Class 12 Vector Algebra · Short Answer2 Marksunit_vectors

Class 12 Maths · Vector Algebra · Short Answer #104

Find all magnitude-5 vectors parallel to the resultant of (2,3,−1) and (1,−2,1).

✅ Step-by-Step Solution

Final Answer: ±5(3,1,0)/√10
  1. The resultant is s=(3,1,0).
  2. Its norm is √10, so its two parallel unit directions are ±s/√10.
  3. Multiply by 5: ±5(3,1,0)/√10.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The resultant is s=(3,1,0).
  • [1 mark] Its norm is √10, so its two parallel unit directions are ±s/√10.
  • [0.5 marks] Multiply by 5: ±5(3,1,0)/√10.

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