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1.10 Vectors

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Question 78

The point A A\,A has position vector 2i−6j2\mathbf{i}-6\mathbf{j}2i−6j and the point B B\,B has position vector −4i+6j-4\mathbf{i}+6\mathbf{j}−4i+6j. The point P P\,P divides AB AB\,AB internally in the ratio AP:PB=2:1AP:PB=2:1AP:PB=2:1.

a.

Find AP⃗\vec{AP}AP.

[2]
b.

Find the position vector of PPP.

[2]
Markscheme

1.10 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.10 Vectors

197 exam-style questions on OCR A Level Maths 1.10 Vectors, covering 1.10.1 Vectors in two dimensions, 1.10.2 Vectors in three dimensions (A-level only), 1.10.3 Magnitude and direction of vectors, 1.10.4 Basic operations on vectors, 1.10.5 Position vectors, 1.10.6 Distance between points, 1.10.7 Problem solving using vectors, 1.10.8 Vectors in kinematics, and 1.10 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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