NCERT Class 12 · Ch 10 Exercise 10.3 · Q18
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.3 Question 18
For nonzero vector a of magnitude a and nonzero scalar λ, when is λa a unit vector?
💡 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: D: a=1/|λ|.
- |λa|=|λ|a.
- A unit vector requires |λ|a=1, so a=1/|λ|.
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