NCERT Class 12 · Ch 10 Exercise 10.2 · Q16
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.2 Question 16
Find the midpoint position vector for P(2,3,4), Q(4,1,−2).
💡 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: \(\left[\begin{matrix}3\\2\\1\end{matrix}\right]\)
- The midpoint is (P+Q)/2.
- Average each coordinate: ((2+4)/2,(3+1)/2,(4−2)/2)=(3,2,1).
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