NCERT Class 12 · Ch 10 Exercise 10.3 · Q10
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.3 Question 10
For a=(2,2,3), b=(−1,2,1), c=(3,1,0), find λ if a+λb is perpendicular to c.
💡 Concept Hints
- Write the vector components and identify the required direction or geometric relation.
- Use the magnitude, dot-product, cross-product or section formula that matches the requested quantity.
✅ Step-by-Step Solution
Final Answer: λ=8.
- Perpendicularity requires (a+λb)·c=0.
- a·c=8 and b·c=−1, so 8−λ=0 and λ=8.
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