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3 marksAngle Between Two Vectors

CSEC Additional Mathematics · 2018 · Paper 2 · Question 3(c)(ii)

The position vectors of two points, A and B, relative to a fixed origin, O, are given by OA = 2i + j and OB = 3i - 5j, where i and j represent the unit vectors in the x and y directions respectively.

Calculate the angle AÔB, giving your answer to the nearest whole number.

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Other parts of this question

  1. 3(a)Determine the equation of the circle that has centre (5, -2), and passes through the origin.[3 marks]
  2. 3(b)Determine whether the following pair of lines is parallel: x + y = 4 and 3x - 2y = -3.[2 marks]
  3. 3(c)(i)Calculate the magnitude of AB.[4 marks]

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