NCERT Class 12 · Ch 10 Exercise 10.4 · Q6
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.4 Question 6
Given a·b=0 and a×b=0, what can be concluded?
💡 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: At least one of a,b is zero.
- Use |a×b|²=|a|²|b|²−(a·b)². Both given products vanish.
- Thus |a|²|b|²=0, so one of the nonnegative norms is zero. If both were nonzero, being simultaneously parallel and perpendicular would be impossible.
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