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1.10 Vectors

1.10 Vectors

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Question 34

The points A A\,A and B B\,B have position vectors (−253)\begin{pmatrix} -2 \\ 5 \\ 3 \end{pmatrix}​−253​​ and (21−1)\begin{pmatrix} 2 \\ 1 \\ -1 \end{pmatrix}​21−1​​ respectively.

a.

Find the exact length of ABABAB.

[2]
b.

Find the position vector of the midpoint of ABABAB.

[1]
c.

The points P P\,P and Q Q\,Q have position vectors (7−5−2)\begin{pmatrix} 7 \\ -5 \\ -2 \end{pmatrix}​7−5−2​​ and (3−12)\begin{pmatrix} 3 \\ -1 \\ 2 \end{pmatrix}​3−12​​ respectively. Show that ABPQ ABPQ\,ABPQ is a parallelogram.

[3]
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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