NCERT Class 12 · Ch 10 Exercise 10.3 · Q16
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.3 Question 16
Show A(1,2,7), B(2,6,3), C(3,10,−1) 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: AB=BC, so B is the midpoint of AC.
- AB=(1,4,−4), BC=(1,4,−4), AC=(2,8,−8).
- The successive displacements are the same nonzero vector, so all points lie on the line A+t(1,4,−4).
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