NCERT Class 12 · Ch 10 Exercise 10.4 · Q5
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.4 Question 5
Find λ,μ if (2i+6j+27k)×(i+λj+μk)=0.
💡 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=3, μ=27/2.
- The second vector has first component 1, so it must be one-half of the first for their cross product to vanish.
- Equating the other components gives λ=6/2=3, μ=27/2. Direct substitution makes all three cross-product components zero.
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