NCERT Class 12 · Ch 10 Miscellaneous Exercise · Q8
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Miscellaneous Exercise Question 8
Show A(1,−2,−8), B(5,0,−2), C(11,3,7) are collinear and find AB:BC.
💡 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: AB:BC=2:3 internally.
- AB=(4,2,6)=2(2,1,3); BC=(6,3,9)=3(2,1,3).
- Both are positive multiples of the same direction. Their magnitude ratio is 2:3, with B between A and C.
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