WAEC Further Mathematics 2015 Question 16

Question 16

Vectors

If x = i − 3j and y = 6i + j, calculate the angle between x and y.

  1. A.60°
  2. B.75°
  3. C.81°
  4. D.85°
Show the answer and explanation

Answer: C (81°)

Explanation

x·y = 6 − 3 = 3; |x| = √10, |y| = √37. cos θ = 3/√370 ≈ 0.156, θ ≈ 81°.