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WAEC Further Mathematics 2022 Question 20

Question 20

Vectors

Given that P = (−4, −5) and Q = (2, 3), express PQ in the form (k, θ), where k is the magnitude and θ the bearing.

  1. A.(10 units, 063°)
  2. B.(9 units, 049°)
  3. C.(10 units, 037°)
  4. D.(9 units, 027°)
Show the answer and explanation

Answer: C ((10 units, 037°))

Explanation

PQ = (6, 8), so k = √(36 + 64) = 10. The bearing is measured from north: tan θ = 6/8, θ ≈ 037°.