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WAEC Further Mathematics 2017 Question 30

Question 30

Vectors

Given that a = (2, 3) and b = (−1, 4) (column vectors), evaluate (2a − ¼b).

  1. A.(17/4, 7)
  2. B.(17/4, 5)
  3. C.(17/4, 3)
  4. D.(17/4, 2)
Show the answer and explanation

Answer: B ((17/4, 5))

Explanation

2a = (4, 6) and ¼b = (−¼, 1). 2a − ¼b = (4¼, 5) = (17/4, 5).