NCERT Class 12 · Ch 10 Miscellaneous Exercise · Q16
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Miscellaneous Exercise Question 16
For the angle θ between nonzero vectors a,b, when is a·b≥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: B: 0≤θ≤π/2.
- a·b=|a||b|cos θ and the norm product is positive.
- On the angle range [0,π], cosine is nonnegative precisely for 0≤θ≤π/2.
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