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WAEC Further Mathematics 2013 Question 34

Question 34

Vectors

P and Q are the points (3, 1) and (7, 4) respectively. Find the unit vector along PQ. (Column vectors written as (x, y).)

  1. A.(4, 3)
  2. B.(0.6, 0.8)
  3. C.(0.8, 0.6)
  4. D.(−0.8, −0.6)
Show the answer and explanation

Answer: C ((0.8, 0.6))

Explanation

PQ = (7 − 3, 4 − 1) = (4, 3) and |PQ| = 5, so the unit vector is (0.8, 0.6).