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WAEC Further Mathematics 2010 Question 32

Question 32

Vectors

Two forces F1 = (7i + 8j) and F2 = (3i + 4j)N act on a particle. Find the magnitude and direction of (F1 − F2).

  1. A.(4√2N, 000°)
  2. B.(4√2N, 045°)
  3. C.(4√2N, 090°)
  4. D.(4√2N, 180°)
Show the answer and explanation

Answer: B ((4√2N, 045°))

Explanation

F1 − F2 = 4i + 4j. Its size is √32 = 4√2 N and since the i and j parts are equal it points at 45° (bearing 045°).