NCERT Class 12 · Ch 10 Exercise 10.2 · Q19
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.2 Question 19
For collinear vectors a,b, which statements are incorrect as general conclusions?
💡 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,C,D (for the usual nonzero-vector interpretation).
- For nonzero a, collinearity means b=λa, so A is the general proportionality statement.
- B would require equal magnitudes; D would require a positive scalar and unequal magnitudes. Neither follows in general.
- C denies proportional components, contradicting collinearity. If zero vectors are admitted, the form b=λa specifically needs a≠0; handle that degenerate case separately.
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