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3 marksProperties of Parallel and Perpendicular Vectors

CSEC Additional Mathematics · 2013 · Paper 2 · Question 3(b)

The position vectors of two points, P and Q, relative to a fixed origin, O, are 10i – 8j and λi + 10j respectively, where λ is a constant.

Find the value of λ such that OP and OQ are perpendicular.

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Other parts of this question

  1. 3(a)(i)Express the equation of the circle in the form x² + y² + hx + gy + k = 0, where h, g and k are integers to be determined.[3 marks]
  2. 3(a)(ii)Find an equation for l.[3 marks]
  3. 3(c)Find the unit vector in the direction of AB.[3 marks]

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