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WAEC Further Mathematics 2006 Question 35

Question 35

Vectors

If a = (3; 2) and b = (−3; 5), find a vector c such that 4a + 3c = b.

  1. A.(3; −1)
  2. B.(−5; −1)
  3. C.(−5; 1)
  4. D.(−5; −9)
Show the answer and explanation

Answer: B ((−5; −1))

Explanation

3c = b − 4a = (−3 − 12; 5 − 8) = (−15; −3), so c = (−5; −1).