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WAEC Further Mathematics 2014 Question 40

Question 40

Vectors

Express (14N, 240°) as a column vector. (Column vectors written as (x, y).)

  1. A.(−7, −7√3)
  2. B.(7√3, 7√3)
  3. C.(−7√3, −7)
  4. D.(7, −7√3)
Show the answer and explanation

Answer: C ((−7√3, −7))

Explanation

A bearing of 240°: x = 14 sin 240° = −7√3, y = 14 cos 240° = −7.