Vector Algebra · Class 12 · CBSE · Science Mathematics

Let u = î + 2ĵ − 2k̂ and v = 2î − ĵ + k̂. What is the magnitude of u + v?

Practice question from Vector Algebra (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-0DA6A9

Let u = î + 2ĵ − 2k̂ and v = 2î − ĵ + k̂. What is the magnitude of u + v?

  1. A.√7
  2. B.√11Correct answer
  3. C.3
  4. D.√13

Solution

u + v = 3î + ĵ − k̂. Therefore, |u + v| = √(3² + 1² + (−1)²) = √11.

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