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0580/13 May/Jun 2022, Question 11: Coordinates and Plotting Points

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 4 marks

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The question, in short

Using a grid from −5 to 5 with P and R (−4, −3) shown, find P's coordinates, place Q from vector PQ, find QR, and complete a vector sum.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

State the coordinates of point P as read from the grid.

  1. 1P = (−1, 4)

Answer(−1, 4)

Part (b) · 1 mark

Plot point Q on the grid using the column vector PQ = (3, −2).

  1. 1Q = (−1 + 3, 4 − 2) = (2, 2)
  2. 2Mark Q at (2, 2)

AnswerQ marked at (2, 2)

Part (c) · 1 mark

Calculate the column vector QR from points Q and R.

  1. 1QR = (−4 − 2, −3 − 2) = column vector (−6, −5)

Answercolumn vector (−6, −5)

Part (d) · 1 mark

Complete the vector statement PQ + QR = the single vector from P to R.

  1. 1Going P to Q then Q to R is the same as P to R: →PQ + →QR = →PR

AnswerPR

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Also searched as: 0580/13/M/J/22 · 0580_s22_qp_13 · 0580 s22 13 · question 11.
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