Class 12 Vector Algebra · Long Answer3 Marksparallel_vectors
Class 12 Maths · Vector Algebra · Long Answer #83
Using vectors, prove (2,−1,3), (3,−5,1), (−1,11,9) are collinear.
✅ Step-by-Step Solution
Final Answer: The three points are collinear.
- Name the points A,B,C. Compute AB=(1,−4,−2).
- Compute AC=(−3,12,6).
- Since AC=−3AB, the displacement vectors from A are parallel.
- Therefore A,B,C lie on a single straight line.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Name the points A,B,C. Compute AB=(1,−4,−2).
- [1 mark] Compute AC=(−3,12,6).
- [1 mark] Since AC=−3AB, the displacement vectors from A are parallel.
- [0.5 marks] Therefore A,B,C lie on a single straight line.
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