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WAEC Further Mathematics 2016 Question 36

Question 36

Vectors

Find the unit vector in the direction of −2i + 5j.

  1. A.(1/√29)(2i + 5j)
  2. B.(1/√29)(−2i + 5j)
  3. C.(1/√29)(2i − 5j)
  4. D.(1/√29)(−2i − 5j)
Show the answer and explanation

Answer: B ((1/√29)(−2i + 5j))

Explanation

|−2i + 5j| = √29, so the unit vector is (−2i + 5j)/√29.