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NCERT Class 12 · Ch 10 Exercise 10.2 · Q6

NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.2 Question 6

Find the sum of i−2j+k, −2i+4j+5k and i−6j−7k.

💡 Concept Hints

  1. Write the vector components and identify the required direction or geometric relation.
  2. Use the magnitude, dot-product, cross-product or section formula that matches the requested quantity.

✅ Step-by-Step Solution

Final Answer: \(\left[\begin{matrix}0\\-4\\-1\end{matrix}\right]\)
  1. Add corresponding components: x=1−2+1=0, y=−2+4−6=−4, z=1+5−7=−1.
  2. Hence the resultant is −4j−k.

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