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1.10 Vectors

1.10 Vectors

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Question 40

A small aircraft P P\,P moves with a constant velocity. At 09:30, P P\,P is at the point with position vector (10i−5j) km(10\mathbf{i} - 5\mathbf{j}) \text{ km}(10i−5j) km with respect to a fixed origin OOO. At 12:00, the aircraft is at the point with position vector (−5i+25j) km(-5\mathbf{i} + 25\mathbf{j}) \text{ km}(−5i+25j) km.

a.

Find the velocity of PPP.

[2]
b.

Find the bearing of the velocity vector.

[2]
c.

Find an expression, in terms of ttt, for the position of PPP t t\,t hours after 09:30.

[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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