passwella.
Menu

WAEC Further Mathematics 2025 Question 20

Question 20

Vectors

If u = 3i + 4j and v = 2i − 3j, find the direction of (u + v)

  1. A.079°
  2. B.075°
  3. C.069°
  4. D.065°
Show the answer and explanation

Answer: A (079°)

Explanation

u + v = 5i + j, which makes an angle tan⁻¹(1/5) ≈ 11.3° with the east (i) direction. As a bearing that is 90° − 11.3° ≈ 079°.