Class 12 Vector Algebra · Short Answer2 Marksparallel_vectors
Class 12 Maths · Vector Algebra · Short Answer #49
Find all vectors of magnitude 3√3 collinear with (1,1,1).
✅ Step-by-Step Solution
Final Answer: ±3(1,1,1).
- Write the required vector as v = t(1,1,1), t ∈ ℝ.
- Then |v| = |t|√3 = 3√3, so |t| = 3.
- Therefore v = ±3(1,1,1); both directions are collinear.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Write the required vector as v = t(1,1,1), t ∈ ℝ.
- [1 mark] Then |v| = |t|√3 = 3√3, so |t| = 3.
- [0.5 marks] Therefore v = ±3(1,1,1); both directions are collinear.
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