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NCERT Class 12 · Ch 10 Exercise 10.4 · Q10

NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.4 Question 10

Find the parallelogram area for adjacent sides a=i−j+3k, b=2i−7j+k.
Parallelogram spanned by the adjacent sides
Parallelogram spanned by the adjacent sides

💡 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: \(15 \sqrt{2}\) square units.
  1. Compute a×b=\(\left[\begin{matrix}20\\5\\-5\end{matrix}\right]\).
  2. The area is the magnitude of this vector: \(15 \sqrt{2}\).

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