NCERT Class 12 · Ch 10 Exercise 10.2 · Q11
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.2 Question 11
Show 2i−3j+4k and −4i+6j−8k are collinear.
💡 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: The second vector is −2 times the first.
- Multiply every component of (2,−3,4) by −2 to obtain (−4,6,−8).
- A nonzero scalar multiple gives collinearity; the negative scalar gives opposite directions.
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