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WAEC Further Mathematics 2018 Question 32

Question 32

Vectors

Given that a = i − 3j, b = −2i + 5j and c = 3i − j, calculate |a − b + c|.

  1. A.√13
  2. B.3√13
  3. C.6√13
  4. D.9√13
Show the answer and explanation

Answer: B (3√13)

Explanation

a − b + c = (1 + 2 + 3)i + (−3 − 5 − 1)j = 6i − 9j. |6i − 9j| = √117 = 3√13.