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NCERT Class 12 · Ch 10 Miscellaneous Exercise · Q2

NCERT Class 12 Maths · Chapter 10 Vector Algebra · Miscellaneous Exercise Question 2

Find scalar components and magnitude of the displacement from P(x₁,y₁,z₁) to Q(x₂,y₂,z₂).

💡 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: Components x₂−x₁,y₂−y₁,z₂−z₁; magnitude √[(x₂−x₁)²+(y₂−y₁)²+(z₂−z₁)²].
  1. The displacement is terminal position minus initial position.
  2. Apply the Euclidean norm to these three differences to obtain the stated square root.

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