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WAEC Further Mathematics 2023 Question 39

Question 39

Vectors

Given that r = (10 N, 200°) and n = (16 N, 020°), find (3r − 2n).

  1. A.(62 N, 200°)
  2. B.(62 N, 020°)
  3. C.(62 N, 240°)
  4. D.(62 N, 280°)
Show the answer and explanation

Answer: A ((62 N, 200°))

Explanation

3r = (30 N, 200°). −2n is 32 N in the opposite direction to 020°, i.e. (32 N, 200°). Both point along 200°, so 3r − 2n = (62 N, 200°).