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WAEC Further Mathematics 2007 Question 33

Question 33

Vectors

Given that p = 4i + 3j, find the unit vector in the direction of p.

  1. A.⅓(4i + 3j)
  2. B.⅓(3i + 4j)
  3. C.⅕(3i + 4j)
  4. D.⅕(4i + 3j)
Show the answer and explanation

Answer: D (⅕(4i + 3j))

Explanation

|p| = √(4² + 3²) = 5, so the unit vector is p/|p| = ⅕(4i + 3j).