Lesson eLearning

Calculate the magnitude of the vector (mathbf{v}=(3,,-4,,12)).

medium 2 marks Class 12 · Mathematics · Vector Algebra
Answer
13

The correct answer is 13 — Take the square root: (sqrt{169}=13).

Step-by-step solution

  1. Write the components of (mathbf{v}).
  2. Square each component: (3^2=9), ((-4)^2=16), (12^2=144).
  3. Sum the squares: (9+16+144=169).
  4. Take the square root: (sqrt{169}=13).
Common mistake: mis‑computing the square of 12 or taking the wrong root

Concept tested: magnitude of vector

Published · How this solution was prepared and checked

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