Skip to content

Course home

1.13 J: Vectors

1.13 J: Vectors

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970
Question 5

Relative to a fixed origin OOO, the point P P\,P has position vector (3i+5j−k)(3\mathbf{i} + 5\mathbf{j} - \mathbf{k})(3i+5j−k), the point Q Q\,Q has position vector (4i+3j+2k)(4\mathbf{i} + 3\mathbf{j} + 2\mathbf{k})(4i+3j+2k), and the point R R\,R has position vector (3i−6j+9k)(3\mathbf{i} - 6\mathbf{j} + 9\mathbf{k})(3i−6j+9k).

a.

Find PQ→\overrightarrow{PQ}PQ​

[2]
b.

Show that the quadrilateral OPQR OPQR\,OPQR is a trapezium, giving reasons for your answer.

[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.

Question bank