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1.11 Vectors

1.11 Vectors

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Question 13

The points A A\,A and B B\,B have position vectors (3−21)\begin{pmatrix} 3 \\ -2 \\ 1 \end{pmatrix}​3−21​​ and (12−1)\begin{pmatrix} 1 \\ 2 \\ -1 \end{pmatrix}​12−1​​ 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 (213)\begin{pmatrix} 2 \\ 1 \\ 3 \end{pmatrix}​213​​ and (4−35)\begin{pmatrix} 4 \\ -3 \\ 5 \end{pmatrix}​4−35​​ respectively. Show that ABPQ ABPQ\,ABPQ is a parallelogram.

[3]
Markscheme

1.11 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.11 Vectors

168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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