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WAEC Further Mathematics 2024 Question 12

Question 12

Vectors

If p = (2, 4) and q = (10, −1) (column vectors), find a vector r such that 2p − 3r = q.

  1. A.(−26, 11)
  2. B.(−2, 3)
  3. C.(2, 3)
  4. D.(6, −9)
Show the answer and explanation

Answer: B ((−2, 3))

Explanation

3r = 2p − q = (4 − 10, 8 + 1) = (−6, 9), so r = (−2, 3).