NCERT Class 12 · Ch 10 Exercise 10.4 · Q8
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.4 Question 8
A zero factor gives a×b=0. Is the converse true?
💡 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: No; take a=i, b=2i.
- Crossing the zero vector with any vector gives zero by the component formula.
- Nonzero parallel vectors also have cross product zero. Here i×2i=0 while both vectors are nonzero.
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