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WAEC Further Mathematics 2010 Question 27

Question 27

Vectors

If OA = 3i + 4j and OB = 5i − 6j where O is the origin and M is the mid-point of AB, find OM.

  1. A.−2i − 10j
  2. B.−2i + 2j
  3. C.4i − j
  4. D.4i + j
Show the answer and explanation

Answer: C (4i − j)

Explanation

OM = ½(OA + OB) = ½(8i − 2j) = 4i − j.