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NCERT Class 12 · Ch 10 Exercise 10.4 · Q1

NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.4 Question 1

Find |a×b| for a=i−7j+7k, b=3i−2j+2k.

💡 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: \(19 \sqrt{2}\)
  1. The cross product is \(\left[\begin{matrix}0\\19\\19\end{matrix}\right]\), using the signed 2×2 minors of the component matrix.
  2. Its magnitude is \(19 \sqrt{2}\).

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