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WAEC Further Mathematics 2015 Question 23

Question 23

Vectors

Given that r = 2i − j, s = 3i + 5j and t = 6i − 2j, find the magnitude of (2r + s − t)

  1. A.√15
  2. B.4
  3. C.√24
  4. D.√26
Show the answer and explanation

Answer: D (√26)

Explanation

2r + s − t = (4 + 3 − 6)i + (−2 + 5 + 2)j = i + 5j; magnitude √26.