NCERT Class 12 · Ch 10 Exercise 10.2 · Q9
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.2 Question 9
For a=2i−j+2k and b=−i+j−k, find a unit vector in the direction a+b.
💡 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: \(\left[\begin{matrix}\frac{\sqrt{2}}{2}\\0\\\frac{\sqrt{2}}{2}\end{matrix}\right]\)
- The direction vector is \(\left[\begin{matrix}1\\0\\1\end{matrix}\right]\), with magnitude √(2)=\(\sqrt{2}\).
- Divide by this nonzero magnitude: \(\left[\begin{matrix}\frac{\sqrt{2}}{2}\\0\\\frac{\sqrt{2}}{2}\end{matrix}\right]\).
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