WAEC Further Mathematics 2022 Question 21

Question 21

Vectors

If PQ = −2i + 5j and RQ = −i − 7j, find PR.

  1. A.−3i + 12j
  2. B.−3i − 12j
  3. C.−i + 12j
  4. D.i − 12j
Show the answer and explanation

Answer: C (−i + 12j)

Explanation

PR = PQ + QR = PQ − RQ = (−2i + 5j) − (−i − 7j) = −i + 12j.