WAEC Further Mathematics 2024 Question 14

Question 14

Vectors

If r = i + 2j and n = −i + 3j, find |2n − r|.

  1. A.8.5
  2. B.5.0
  3. C.4.0
  4. D.3.6
Show the answer and explanation

Answer: B (5.0)

Explanation

2n − r = (−2 − 1)i + (6 − 2)j = −3i + 4j, and |−3i + 4j| = √(9 + 16) = 5.0.