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1.10 Vectors

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Question 80

A particle starts at the point with position vector −5i+7j−3k-5\mathbf{i}+7\mathbf{j}-3\mathbf{k}−5i+7j−3k. It then undergoes the displacement 3i−4j+2k3\mathbf{i}-4\mathbf{j}+2\mathbf{k}3i−4j+2k.

a.

Find the position vector of the particle after the displacement.

[2]
b.

Find its exact distance from the origin.

[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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