Skip to content

Course home

1.11 Vectors

1.11 Vectors

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970
Question 8

Relative to a fixed origin OOO, a drone P P\,P has position vector (3i+2j−k)(3\mathbf{i} + 2\mathbf{j} - \mathbf{k})(3i+2j−k), a drone Q Q\,Q has position vector (7i+5j+3k)(7\mathbf{i} + 5\mathbf{j} + 3\mathbf{k})(7i+5j+3k), and a drone R R\,R has position vector (4i+3j+4k)(4\mathbf{i} + 3\mathbf{j} + 4\mathbf{k})(4i+3j+4k).

a.

Find the vector QR⃗\vec{QR}QR​.

[2]
b.

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

[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.

Question bank