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WAEC Further Mathematics 2019 Question 34

Question 34

Vectors

Find correct to the nearest degree, the angle between p = 12i − 5j and q = 4i + 3j.

  1. A.59°
  2. B.60°
  3. C.75°
  4. D.76°
Show the answer and explanation

Answer: A (59°)

Explanation

p·q = 48 − 15 = 33; |p| = 13, |q| = 5. cos θ = 33/65 ≈ 0.5077, so θ ≈ 59°.