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1.11 Vectors

1.11 Vectors

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Question 63

The points PPP, Q Q\,Q and R R\,R have position vectors p=2i+j\mathbf{p} = 2\mathbf{i} + \mathbf{j}p=2i+j, q=6i+9j\mathbf{q} = 6\mathbf{i} + 9\mathbf{j}q=6i+9j and r=14i+25j\mathbf{r} = 14\mathbf{i} + 25\mathbf{j}r=14i+25j

a.

Show that PPP, Q Q\,Q and R R\,R are collinear.

[3]
b.

Find the ratio PQ:QRPQ : QRPQ:QR.

[1]
Markscheme

1.11 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.11 Vectors

168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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