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WAEC Further Mathematics 2008 Question 34

Question 34

Vectors

If p = (2, −2) and q = (3, 4), find |q − ½p|

  1. A.2√2
  2. B.√13
  3. C.5
  4. D.√29
Show the answer and explanation

Answer: D (√29)

Explanation

q − ½p = (3 − 1, 4 + 1) = (2, 5). Its magnitude is √(4 + 25) = √29.