Class 12 Vector Algebra · Long Answer3 Markssection_formula
Class 12 Maths · Vector Algebra · Long Answer #79
In triangle ABC, AB=(0,1,1), AC=(3,−1,4). Find the length of the median from A.
✅ Step-by-Step Solution
Final Answer: √34/2
- Let D be the midpoint of BC. Then AD=(AB+AC)/2.
- Thus AD=(3/2,0,5/2).
- Its squared norm is 9/4+25/4=34/4.
- The median length is √34/2.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Let D be the midpoint of BC. Then AD=(AB+AC)/2.
- [1 mark] Thus AD=(3/2,0,5/2).
- [1 mark] Its squared norm is 9/4+25/4=34/4.
- [0.5 marks] The median length is √34/2.
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