Class 12 Vector Algebra · Short Answer2 Marksscalar_projection
Class 12 Maths · Vector Algebra · Short Answer #62
Find the scalar projection of b + c onto a, where a = (2,−2,1), b = (1,2,−2), c = (2,−1,4).
✅ Step-by-Step Solution
Final Answer: 2.
- Compute b + c = (3,1,2) and |a| = √9 = 3.
- Then a · (b + c) = 6 − 2 + 2 = 6.
- The scalar projection is 6/3 = 2.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Compute b + c = (3,1,2) and |a| = √9 = 3.
- [1 mark] Then a · (b + c) = 6 − 2 + 2 = 6.
- [0.5 marks] The scalar projection is 6/3 = 2.
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