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1.13 J: Vectors

1.13 J: Vectors

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Question 16

A particle P P\,P moves so that its position vector at time t t\,t seconds is

r=(3+2t)i+(4−t)j+(1+2t)k\mathbf{r} = (3 + 2t)\mathbf{i} + (4 - t)\mathbf{j} + (1 + 2t)\mathbf{k}r=(3+2t)i+(4−t)j+(1+2t)k

where the units of distance are metres.

a.

Find the position vector of P P\,P when t=0t = 0t=0 and when t=3t = 3t=3.

[2]
b.

Show that P P\,P moves in a straight line, and find the speed of PPP.

[4]
c.

Find the exact distance of P P\,P from the origin when t=1t = 1t=1.

[2]
Markscheme

1.13 J: Vectors Questions

  1. A Level
  2. /Maths
  3. /1.13 J: Vectors

168 exam-style questions on AQA A Level Maths 1.13 J: Vectors, covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.

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